Publications

Published Papers

Kelsey, Veronica; Rowley, Peter $M_{24}$-orbits of octad triples. Graphs Combin. 34 (2018), no. 6, 1429–1443.

Kelsey, Veronica; Rowley, Peter Chamber graphs of some geometries that are almost buildings. Innov. Incidence Geom. 17(2019), no. 3, 189–200.

Parker, Chris; Rowley, Peter 2-minimal subgroups of monomial, linear and unitary groups. J. Algebra 543 (2020), 1–53.

Kelsey Veronica; Rowley, Peter, Chamber Graphs of Minimal Parabolic Sporadic Geometries. to appear Innov. Incidence Geom.

Kelsey Veronica; Rowley, Peter, A Note on Involution Centralizers in Black Box Groups, to appear J. Group Theory

Everett A.; Rowley P. Commuting involution graphs for 4-dimensional projective symplectic groups. to appear Graphs Combin.

Hart, Sarah B.; Rowley, Peter J. Maximal length elements of excess zero in finite Coxeter groups. J. Group Theory 21 (2018), no. 5, 817-837.

Rowley, Peter; Wright, Ben. Structure of the $Fi_ {24}’$ maximal 2-local geometry point-line collinearity graph. LMS J. Comput. Math. 19 (2016), no. 1, 105-154.

Rowley, Peter; Ward, David. On $\pi$-product involution graphs in symmetric groups. Graphs Combin. 32 (2016), no. 4, 1545-1570.

Rowley, Peter; Taylor, Paul. An algorithm for the Thompson subgroup of a p-group. J. Algebra 461 (2016), 375-389.

Ballantyne, John; Rowley, Peter. Local fusion graphs and sporadic simple groups. Electron. J. Combin. 22 (2015), no. 3, Paper 3.18, 13 pp.

Ballantyne, John; Bates, Chris; Rowley, Peter. The maximal subgroups of $E_7(2)$. LMS J. Comput. Math. 18 (2015), no. 1, 323-371.

Bates, Chris; Rowley, Peter; Taylor Paul. Involutions in the Automorphism Groups of Small Sporadic Simple Groups, Algebra, Volume 2015(2015) Article ID 587629, 15 pages.

Nawawi A.; Rowley P. On Commuting Graphs for Elements of Order 3 in Symmetric Groups, Electron. J. Combin. 22 (2015), no. 1, Paper 1.21, 12 pp.

Hart, Sarah B.; Rowley, Peter J. On Excess in Finite Coxeter Groups, J. Pure Appl. Algebra. 219(2015), 1657 – 1669.

Hart, Sarah B.; Rowley, Peter J. Corrigendum to Involution Products in Coxeter Groups, J. Group Theory 17 (2014), no 2, 379 – 380.

Hart, Sarah B.; Rowley, Peter J. On X-posets in Finite Coxeter Groups, Taiwanese Journal of Mathematics 17(2013), no 6, 1901 – 1919.

Ballantyne J.; Rowley P. A Note on Computing Involution Centralizers, J. Symb. Comp. 54(2013), 1–8.

Ballantyne J.; Greer N.; Rowley P. Local Fusion Graphs for Symmetric Groups, J. Group Theory 16(2013), 35 – 49.

Ballantyne J.; Greer N.; Rowley P. On Coprimality Graphs for Symmetric Groups, Graphs and Combinatorics 29(2013), 1595 – 1622.

Kilic, Nayil; Rowley, Peter, On the maximal rank of primitive residually connected geometries for $M_{22}$, J. Algebra 362(2012), 84 – 91.

Hart, Sarah B.; Rowley, Peter J. Zero Excess and Minimal Length in Finite Coxeter Groups, J. Group Theory 15(2012), 497 – 512.

Rowley, P. J.; Taylor, P, Involutions in Janko’s Group $J_4$, LMS J. Comput. 14(2011), 238 – 253.

Hart, Sarah B.; Rowley, Peter J. Maximal Length Parabolic Subgroups in Finite Coxeter Groups, JP Jour. Algebra, Number Theory and Appl 24(2012), 179 – 196.

Rowley, Peter; Walker, Louise, A 195,747,435 Vertex Graph related to the Fischer Group $Fi_{23}$, I, JP Jour. Algebra, Number Theory and Appl. 23(2011), 87 – 120.

Rowley, Peter; Walker, Louise, A 195,747,435 Vertex Graph related to the Fischer Group $Fi_{23}$, II, JP Jour. Algebra, Number Theory and Appl 24(2012), 203 – 239.

Rowley, Peter; Walker, Louise, A 195,747,435 Vertex Graph related to the Fischer Group $Fi_{23}$, III, JP Jour. Algebra, Number Theory and Appl 27(2012), 1 – 44.

Hart, Sarah B.; Rowley, Peter J. Lengths of Parabolic Subgroups in Finite Coxeter Groups. International Electronic Journal of Algebra 9(2011), 10 – 37.

Hart, Sarah B.; Rowley, Peter J. Involution Products in Coxeter Groups. J. Group Theory. 14(2011), 251 – 259.

Hart, Sarah B.; Rowley, Peter J. On Cosets in Coxeter Groups. Turk. J. Math. 36(2012),77 – 93.

Rowley, P. J.; Taylor, P, Point-Line Collinearity Graphs of two Sporadic Minimal Parabolic Geometries, J. Algebra. 331(2011), 304 – 310.

Rowley, P. J.; Taylor, P, Normalizers of 2-subgroups in black box groups, LMS J. Comput. 13(2010), 307 – 319.

Leemans, D.; Rowley, P. J. Rank three residually connected geometries for $M_{22}$, revisited. Electronic Journal of Combinatorics. 17(1) (2010) N4.

Parker, C. W.; Rowley, P. J. A note on conjugacy of supplements in finite soluble groups, Bull London Math. Soc. (3)42(2010), 417 –419.

Parker, C. W.; Rowley, P. J. A 3-local characterization of $Co_2$. J. Algebra. 323(2010), 601 –621.

Meirerfrankenfeld, Ulrich; Parker, Christopher; Rowley, Peter. Isolated subgroups in finite groups. J. London Math. Soc. (2)79(2009), 107 – 128.

Bates, Chris; Rowley, Peter. Normalizers of p-subgroups in Finite Groups. Arch. Math. 92(2009), 7 – 13.

Rowley, Peter. Disc Structures of certain Chamber Graphs, Innov. in Incidence Geometries. 11(2010), 69 – 97.

Rowley, Peter. The Chamber Graph of the $M_{24}$ Maximal 2-Local Geometry. LMS J. Comput. Math. 12 (2009), 120–143.

Rowley, Peter; Walker, Louise. Involution fixed sets of the $M_{24}$ maximal 2-local geometry chamber graph. Ars Combin 111 (1023), 305 – 313.

Bates, D.; Bundy, D.; Perkins, S.; Rowley, P. A note on commuting graphs for symmetric groups. Elec. J. Combinatorics 16(2009), R6.

Parker, C. W.; Rowley, P. J. A 3-local identification of the Alternating Group of Degree 8, the McLaughlin Simple Group and their Automorphism Groups. J. Algebra 319(2008), no. 4, 1752 - 1775.

Hart, Sarah B.; Rowley, Peter J. Poincare Series of Cosets in Coxeter Groups. Algebra Colloq. 16 (2009), no. 4, 567–574.

Hart, Sarah B.; Rowley, Peter J. Lengths of Subsets in Coxeter Groups. Turk. J. Math. 31(2007), 63 - 77.

Rowley, Peter; Walker, Louise The Maximal 2-Local Geometry for J$_4$ I. JP Jour. Algebra, Number Theory and Appl. 9(2007) no. 2, 145 - 213.

Rowley, Peter; Walker, Louise The Maximal 2-Local Geometry for $J_4$, II. JP Jour. Algebra, Number Theory and Appl. 10(2008) no. 1, 9 - 49.

Rowley, Peter; Walker, Louise The Maximal 2-Local Geometry for $J_4$, III. JP Jour. Algebra, Number Theory and Appl. 10(2008) no 1, 129 – 167.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter $(S_3,S_6$)-amalgams. V. Rend. Sem. Mat. Univ. Padova 117(2007), 231 - 256.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter $(S_3, S_6)$-amalgams. VI. Rend. Sem. Mat. Univ. Padova 118(2007), 235 - 256.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter $(S_3,S_6)$-amalgams. VII. Rend. Sem. Mat. Univ. Padova 119(2008), 97 - 139.

Bates, C.; Bundy, D.; Perkins, S.; Rowley, P. Commuting Involution Graphs for Sporadic Simple Groups. J.Algebra 316(2007), 849 - 868.

Bundy, David; Rowley, Peter Symmetric Groups and completions of the Goldschmidt amalgams of type $G_1$, J. Group Theory 9(2006), no 5,627 - 640.

Korchagina, I.A.; Parker, C. W.; Rowley, P. A 3-local characterization of $Co_3$ Europ. J. Combinatorics 28(2007), 559 - 566.

Parker, C. W.; Rowley, P. J. Local Characteristic p completions of weak BN-pairs, Proc. London Math. Soc (3)93(2006), 325 - 394.

Bates, C.; Bundy, D.; Perkins, S.; Rowley, P. Primitive k-free permutation groups Arch. Math. (Basel) 88(2007), 193 - 198.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter $(S_3, S_6)$-amalgams. IV. Rend. Sem. Mat. Univ. Padova 114 (2006), 1–19.

Bates, Chris; Rowley, Peter Centralizers of real elements in finite groups. Arch. Math. (Basel) 85 (2005), no. 6, 485–489.

Bates, C.; Bundy, D.; Perkins, S.; Rowley, P. Root differences for $A_n$. Arch. Math. (Basel) 85 (2005), no. 4, 313–317.

Parker, C. W.; Rowley, P. J. On commutator subspaces of $GF(p^a)SL_2(p^a)$-modules. Arch. Math. (Basel) 84 (2005),no. 3, 211–215.

Bates, Chris; Rowley, Peter Involutions in Conway’s largest simple group. LMS J. Comput. Math. 7 (2004), 337–351 (electronic).

Rowley, Peter Cross orbits. LMS J. Comput. Math. 7 (2004), 219–265 (electronic).

Perkins, Sarah B.; Rowley, Peter J. On negative orbits of finite Coxeter groups. J. Algebraic Combin. 20 (2004), no. 1, 17–31.

Bates, C.; Bundy, D.; Perkins, S.; Rowley, P. Commuting involution graphs in special linear groups. Comm. Algebra 32 (2004), no. 11, 4179–4196.

Rowley, Peter; Saninta, Tipaval Maximal 2-local geometries for the symmetric groups. Comm. Algebra 32 (2004), no. 4, 1339–1371.

Rowley, Peter J. Plane-line collinearity graph of the $M_{24}$ minimal parabolic geometry. Ars Combin. 73 (2004), 257–262.

Perkins, Sarah B.; Rowley, Peter J. Bad upward elements in infinite Coxeter groups. Adv. Geom. 4 (2004), no. 4, 497–511.

Rowley, Peter; Walker, Louise On point orbits of the $Co_2$-minimal parabolic geometry. J. Combin. Theory Ser. A 107 (2004), no. 2, 263–293.

Rowley, Peter; Walker, Louise A 11,707,448,673,375 vertex graph related to the baby monster. II. J. Combin. Theory Ser. A 107 (2004), no. 2, 215–261.

Rowley, Peter; Walker, Louise A 11,707,448,673,375 vertex graph related to the baby monster. I. J. Combin. Theory Ser. A 107 (2004), no. 2, 181–213.

Perkins, Sarah B.; Rowley, Peter J. Lengths of involutions in Coxeter groups. J. Lie Theory 14 (2004), no. 1, 69–71.

Perkins, Sarah B.; Rowley, Peter J. Coxeter length. J. Algebra 273 (2004), no. 1, 344–358.

Parker, Christopher; Rowley, Peter A characteristic 5 identification of the Lyons group. J. London Math. Soc. (2) 69 (2004), no. 1, 128–140.

Kilic, Nayil; Rowley, Peter On rank 2 and rank 3 residually connected geometries for $M_{22}$. Note Mat. 22 (2003/04), no. 1, 107–154.

Parker, Christopher; Rowley, Peter Subgroup-chain graphs. Graphs Combin. 19 (2003), no. 4, 537–545.

Bates, C.; Bundy, D.; Perkins, S.; Rowley,P. Commuting involution graphs for finite Coxeter groups. J. Group Theory 6 (2003), no. 4, 461–476.

Bates, C.; Bundy, D.; Perkins, S.; Rowley, P. Commuting involution graphs for symmetric groups. J. Algebra 266 (2003), no. 1, 133–153.

Parker, Christopher; Rowley, Peter Unique node extremal subgroups in Chevalley groups. Comm. Algebra 31 (2003), no. 7, 3471–3486.

Rowley, Peter; Stroth, Gernot On a certain $(O^+(6,q),O^+(6,q))$-amalgam. J. Group Theory 6 (2003), no. 2, 127–138.

Parker, Christopher; Rowley, Peter Finite completions of the Goldschmidt $G_3$-amalgam and the Mathieu groups. Comm. Algebra 30 (2002), no. 12, 5611–5619.

Perkins, Sarah B.; Rowley, Peter J. Evil elements in Coxeter groups. J. Algebra 251 (2002), no. 2, 538–559.

Parker, Christopher; Rowley, Peter Irreducible subgroups of symplectic groups in characteristic 2. J. Aust. Math. Soc. 73 (2002), no. 1, 85–95.

Parker, Christopher; Rowley, Peter Symplectic amalgams. Springer Monographs in Mathematics. Springer-Verlag London, Ltd., London, 2002. xii+361 pp. ISBN: 1- 85233-430-4

Perkins, Sarah B.; Rowley, Peter J. Minimal and maximal length involutions in finite Coxeter groups. Comm. Algebra 30 (2002), no. 3, 1273–1292.

Rowley, Peter On the minimal parabolic system related to the Monster simple group. J. Combin. Theory Ser. A 96 (2001), no. 2, 199–260.

Laycock, Patrick J.; Rowley, Peter J. On generating and classifying all $q^{n-m}$ regular designs for square-free q. Optimum design 2000 (Cardiff), 57–66, Nonconvex Optim. Appl., 51, Kluwer Acad. Publ., Dordrecht, 2001.

Parker, Christopher; Rowley, Peter Completions of Goldschmidt amalgams of type $G_4$ in dimension 3. J. Algebraic Combin. 13 (2001), no. 1, 77–82.

Parker, Christopher; Rowley, Peter Sporadic simple groups which are completions of the Goldschmidt $G_3$-amalgam. J. Algebra 235 (2001), no. 1, 131–153.

Parker, Christopher; Rowley, Peter Classical groups in dimension 3 as completions of the Goldschmidt $G_3$-amalgam. J. London Math. Soc. (2) 62 (2000), no. 3, 802–812.

Laycock, P. J.; Rowley, P. J. On generating and classifying all $q^{n-m-l}$ regularly blocked factional designs. Advances in stochastic simulation methods (St. Petersburg, 1998), 165–176, Stat. Ind. Technol., Birkhuser Boston, Boston, MA, 2000.

Parker, Christopher; Rowley, Peter $\Omega$-covers of graphs. Bull. London Math. Soc. 32 (2000), no. 6, 658–662.

Bray, John; Parker, Christopher; Rowley, Peter Cayley type graphs and cubic graphs of large girth. Discrete Math. 214 (2000), no. 1-3, 113–121.

Parker, Christopher; Rowley, Peter Symplectic amalgams and extremal subgroups. Groups St. Andrews 1997 in Bath, II, 596–604, London Math. Soc. Lecture Note Ser., 261, Cambridge Univ. Press, Cambridge, 1999.

Neumann, Peter M.; Rowley, Peter J. Free actions of abelian groups on groups. Geometry and cohomology in group theory (Durham, 1994), 291–295, London Math. Soc. Lecture Note Ser., 252, Cambridge Univ. Press, Cambridge, 1998.

Rowley, Peter Chamber graphs of some sporadic group geometries. The atlas of finite groups: ten years on (Birmingham, 1995), 249–260, London Math. Soc. Lecture Note Ser., 249, Cambridge Univ. Press, Cambridge, 1998.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter Minimal parabolic systems for the symmetric and alternating groups. The atlas of finite groups: ten years on (Birmingham, 1995), 149–162, London Math. Soc. Lecture Note Ser., 249, Cambridge Univ. Press, Cambridge, 1998.

Parker, Christopher W.; Rowley, Peter J. Extremal subgroups in twisted Lie type groups. J. Reine Angew. Math. 498 (1998), 135–152.

Howlett, R. B.; Rowley, P. J.; Taylor, D. E. On outer automorphism groups of Coxeter groups. Manuscripta Math. 93 (1997), no. 4, 499–513.

Parker, Christopher; Rowley, Peter Amalgams which involve sporadic simple groups. I. J. Algebra 193 (1997), no. 2, 441–491.

Parker, Christopher; Rowley, Peter Amalgams which involve sporadic simple groups. II. J. Algebra 193 (1997), no. 2, 492–528.

Parker, Christopher; Rowley, Peter Extremal subgroups in Chevalley groups. J. London Math. Soc. (2) 55 (1997), no. 2, 387–399.

Parker, Christopher; Rowley, Peter Quadratic functions and GF(q)-groups. Proc. Amer. Math. Soc. 125 (1997), no. 8, 2227–2237.

Rowley, Peter; Walker, Louise On the $Fi_{22}$-minimal parabolic geometry. Geom. Dedicata 61 (1996), no. 2, 121–167.

Parker, Christopher; Rowley, Peter On the non-commuting case for $(S_3,L_3(2))$-amalgams. J. Algebra 181 (1996), no. 1, 267–285.

Parker, Christopher; Rowley, Peter Odd automorphisms of Sylow 2-subgroups of spoadic simple groups. Manuscripta Math. 89 (1996), no. 1, 49–60.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter $(S_3,S_6)$-amalgams. II. Nova J. Algebra Geom. 3 (1995), no. 4, 271–311.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter $(S_3,S_6)$-amalgams. III. Nova J. Algebra Geom. 3 (1995), no. 4, 313–356.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter $(S_3,S_6)$-amalgams. I. Nova J. Algebra Geom. 3 (1995), no. 3, 209–269.

Parker, Christopher; Rowley, Peter Amalgams of minimal local subgroups and sporadic simple groups. Groups ’93 Galway/St. Andrews, Vol. 2, 495–506, London Math. Soc. Lecture Note Ser., 212, Cambridge Univ. Press, Cambridge, 1995.

Rowley, Peter Finite groups admitting a fixed-point-free automorphism group. J. Algebra 174 (1995), no. 2, 724–727.

Laycock, P. J.; Rowley, P. J. A method for generating and labelling all regular fractions or blocks for $q^{n-m}$-designs. J. Roy. Statist. Soc. Ser. B 57 (1995), no. 1, 191–204.

Rowley, Peter; Walker, Louise A characterization of the $Co_2$-minimal parabolic geometry. Nova J. Algebra Geom. 3 (1994), no. 2, 97–155.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter The structure of $(S_3,S_6)$- amalgams. I. Comm. Algebra 22 (1994), no. 11, 4175–4215.

Lempken, Wolfgang; Parker, Christopher; Rowley, Peter The structure of $(S_3,S_6)$- amalgams. II. Comm. Algebra 22 (1994), no. 11, 4217–4301.

Rowley, Peter Sporadic group geometries and the action of involutions. J. Austral. Math. Soc. Ser. A 57 (1994), no. 1, 35–48.

Rowley, Peter; Walker, Louise A note on the $M_{23}$- and $Fi_{23}$-minimal parabolic geometries. Proc. Amer. Math. Soc. 121 (1994), no. 2, 317–322.

Holt, D. F.; Rowley, P. On products of Sylow subgroups in finite groups. Arch. Math. (Basel) 60 (1993), no. 2, 105–107.

Rowley, Peter Pushing down minimal parabolic systems. Groups, combinatorics and geometry (Durham, 1990), 144–150, London Math. Soc. Lecture Note Ser., 165, Cambridge Univ. Press, Cambridge, 1992.

Lempken, W.; Parker, C.; Rowley, P. ($S_3,S_6)$-amalgams. Groups, combinatorics and geometry (Durham, 1990), 139–143, London Math. Soc. Lecture Note Ser., 165, Cambridge Univ. Press, Cambridge, 1992.

Lempken,Wolfgang; Parker,Christopher; Rowley,Peter ($S_3,S_5)$-and $(S_3,S_6)$-amalgams. J. Algebra 143 (1991), no. 2, 518–522.

Rowley, Peter *Minimal parabolic systems with diagram **** J. Algebra 141 (1991), no. 1, 204–251.

Rowley, Peter Finite groups admitting a fixed-point-free automorphism of order rst. Note Mat. 9 (1989), no. 1, 95–143 (1990).

Rowley, Peter On the minimal parabolic system related to $M_{24}$. J. London Math. Soc. (2) 40 (1989), no. 1, 40–56.

Rowley, P. Amalgams and pushing up. Proceedings of the Rutgers group theory year, 1983–1984 (New Brunswick, N.J., 1983–1984), 189–195, Cambridge Univ. Press, Cam- bridge, 1985.

Rowley, Peter Solubility of finite groups admitting a fixed-point-free automorphism of order rst. III. Israel J. Math. 51 (1985), no. 1-2, 125–150.

Rowley, Peter $S_3$-complexes and the alternating group of degree 7. J. London Math. Soc. (2) 30 (1984), no. 2, 210–226.

Rowley, Peter Solubility of finite groups admitting a fixed-point-free automorphism of order rst. IV. Math. Z. 186 (1984), no. 4, 435–464.

Rowley, Peter Solubility of finite groups admitting a fixed-point-free automorphism of order rst. II. J. Algebra 83 (1983), no. 2, 293–348.

Rowley, Peter Automorphisms of certain trees. Math. Z. 181 (1982), no. 3, 293–312.

Rowley, Peter Solubility of finite groups admitting a fixed-point-free automorphism of order rst. I. Pacific J. Math. 93 (1981), no. 1, 201–235.

Rowley, Peter Finite groups which possess a strongly closed 2-subgroup of class at most two. I. J. Algebra 73 (1981), no. 2, 434–470.

Rowley, Peter Finite groups which possess a strongly closed 2-subgroup of class at most two. II. J. Algebra 73 (1981), no. 2, 471–517.

Rowley, Peter 3-locally central elements in finite groups. Proc. London Math. Soc. (3) 43 (1981), no. 2, 357–384.

Rowley, Peter Characteristic 2-type groups with a strongly closed 2-subgroup of class at most two. J. Algebra 71 (1981), no. 2, 550–568.

Rowley, Peter On the orders of finite groups and centralizers of real elements. Arch. Math. (Basel) 36 (1981), no. 5, 394–397.

Rowley, Peter Finite groups admitting an automorphism of prime order whose fixed point set is a 3-group. Quart. J. Math. Oxford Ser. (2) 31 (1980), no. 121, 81–96.

Rowley, Peter A note on strongly closed 2-subgroups of finite groups. Comm. Algebra 7 (1979), no. 10, 1029–1042.

Rowley, Peter On factorizable groups. Arch. Math. (Basel) 31 (1978/79), no. 2, 113–116.

Rowley, P. J. Solubility of finite groups admitting a fixed-point-free abelian automorphism group of square-free exponent rs. Proc. London Math. Soc. (3) 37 (1978), no. 3, 385–421.

Rowley, Peter J. The $\pi$-separability of certain factorizable groups. Math. Z. 153 (1977), no. 3, 219–228.

Submitted Papers

Meirerfrankenfeld, Ulrich; Parker, Christopher; Rowley, Peter. Rank One Isolated Subgroups in Finite Groups.

Parker C: Rowley P. 2-minimal subgroups of Symplectic Groups

Hart, Sarah B.; Rowley, Peter J. Lengths of involution in Finite Coxeter Groups.

Rowley, Peter; Walker, Louise, Octad Orbits for certain Subgroups of $M_{24}$.

Rowley, Peter; Walker, Louise, The point-line collinearity graph of the $Fi_ 24’$ maximal 2-local geometry – the first three discs.

Sarah Hart, Veronica Kelsey and Peter Rowley, Generating Finite Coxeter Groups with Elements of the Same Order, Oberwolfach Preprint OWP2020.07. 2020.