John Bray’s publications

Co-authors

• Robert F. Bailey.
• Sean W. Bolt.
• Henrik Bäärnhielm.
• Marston D. E. Conder.
• Robert T. Curtis.
• Ahmed M. A. Hammas.
• Derek F. Holt.
• Charles R. Leedham-Green
• Eamonn A. O'Brien.
• Christopher W. Parker.
• Richard A. Parker.
• Colva M. Roney-Dougal.
• Peter J. Rowley.
• Ibrahim A. I. Suleiman.
• Peter G. Walsh.
• Corinna B. Wiedorn.
• John S. Wilson.
• Robert A. Wilson.

• Thomas Breuer.
• Simon J. Nickerson.
• Other people involved with the www-ATLAS of Finite Group Representations.

Theses

1. MPhil (Sc, Qual): Symmetric Presentations of Finite Groups. (June 1995.)
2. PhD: Symmetric Presentations of Sporadic Groups and Related Topics. (September 1997.)

Book(s)

1. John N. Bray, Derek F. Holt and Colva M. Roney-Dougal. The maximal subgroups of the low-dimensional finite classical groups. With a foreword by Martin Liebeck. London Mathematical Society Lecture Note Series, 407. Cambridge University Press, Cambridge, 2013. xiv+438 pp. ISBN: 978-0-521-13860-4. [AMS Classification: 20G40 (20E28).]

Published Papers

1. J.N.Bray and H.Bäärnhielm. A new method for recognising Suzuki groups. J. Algebra 493 (2018), 483–499. [AMS Classification: 20D10 (20-04).]
2. J.N.Bray, R.A.Parker and R.A.Wilson. Finding 47:23 in the Baby Monster. LMS J. Comput. Math. 19 (2016), no. 1, 229–234. [AMS Classification: 20D08 (20B40 20E28).]
3. J.N.Bray, M.D.E.Conder, C.R.Leedham-Green and E.A.O'Brien. Short presentations for alternating and symmetric groups. Trans. Amer. Math. Soc. 363 (2011), no. 6, 3277–3285. [AMS Classification: 20B30 (20F05).]
4. .N.Bray and R.T.Curtis. The Leech lattice Λ and the Conway group ⋅O revisited. Trans. Amer. Math. Soc. 362 (2010), no. 3, 1351–1369. [AMS Classification: 20D08 (20F05).]
5. J.N.Bray, D.F.Holt and C.M.Roney-Dougal. Certain classical groups are not well-defined. J. Group Theory 12 (2009), no. 2, 171–180. [AMS Classification: 20G40.]
6. J.N.Bray and R.A.Wilson. Examples of 3-dimensional 1-cohomology for absolutely irreducible modules of finite simple groups. J. Group Theory 11 (2008), no. 5, 669–673. [AMS Classification: 20J06 (20D06).]
7. S.W.Bolt, J.N.Bray and R.T.Curtis. Symmetric presentation of the Janko group J₄. J. Lond. Math. Soc. (2) 76 (2007), no. 3, 683–701. (Reviewer: A. S. Kondratʹev) 20D08 (20F05) [AMS Classification: 20D08 (20F05).]
8. J.N.Bray and R.F.Bailey. Decoding the Mathieu group M₁₂. Adv. Math. Commun. 1 (2007), no. 4, 477–487. [AMS Classification: 94B35 (20D08 94B25).]
9. J.N.Bray and R.A.Wilson. On the orders of automorphism groups of finite groups. II. J. Group Theory 9 (2006), no. 4, 537–545. [AMS Classification: 20D45.]
10. J.N.Bray and R.A.Wilson. Explicit representations of maximal subgroups of the Monster. J. Algebra 300 (2006), no. 2, 834–857. [AMS Classification: 20D08 (20C34 20E28).]
11. J.N.Bray, R.T.Curtis, C.W.Parker and C.B.Wiedorn. Symmetric presentations for the Fischer groups. II. The sporadic groups. Geom. Dedicata 112 (2005), 1–23. [AMS Classification: 20D08 (20F05).]
12. J.N.Bray and R.A.Wilson. On the orders of automorphism groups of finite groups. Bull. London Math. Soc. 37 (2005), no. 3, 381–385. Preprint 2003/22 at the University of Birmingham. [AMS Classification: 20E36 (20F28).]
13. J.N.Bray, J.S.Wilson and R.A.Wilson. A characterization of finite soluble groups by laws in two variables. Bull. London Math. Soc. 37 (2005), no. 2, 179–186. Preprint 2003/21 at the University of Birmingham. [AMS Classification: 20D10.]
14. J.N.Bray and R.T.Curtis. Double coset enumeration of symmetrically generated groups. J. Group Theory 7 (2004), no. 2, 167–185. [AMS Classification: 20F05 (20-04 20D08 20D60).]
15. J.N.Bray and R.T.Curtis. Monomial modular representations and symmetric generation of the Harada–Norton group. J. Algebra 268 (2003), no. 2, 723–743. [AMS Classification: 20C34 (20D08).]
16. J.N.Bray, R.T.Curtis, C.W.Parker and C.B.Wiedorn. Symmetric presentations of the Fischer groups I: The classical groups Sp₆(2), Sp₈(2), and 3^.O₇(3). J. Algebra 265 (2003), no. 1, 171–199. [AMS Classification: 20D06 (20F05).]
17. J.N.Bray, I.A.I.Suleiman, P.G.Walsh and R.A.Wilson. Generating maximal subgroups of sporadic simple groups. Comm. Algebra 29 (2001), no. 3, 1325–1337. [AMS Classification: 20D08.]
18. J.N.Bray, C.W.Parker and P.J.Rowley. Cayley type graphs and cubic graphs of large girth. Discrete Math. 214 (2000), no. 1–3, 113–121. [AMS Classification: 05C25.]
19. J.N.Bray. An improved method for generating the centraliser of an involution. Arch. Math. (Basel) 74 (2000), no. 4, 241–245. [AMS Classification: 20F05 (20D06).]
20. J.N.Bray and R.T.Curtis. A systematic approach to symmetric presentations. II: Generators of order 3. Math. Proc. Cambridge Philos. Soc. 128 (2000), no. 1, 1–20. [AMS Classification: 20F05.]
21. R.T.Curtis, A.M.A.Hammas and J.N.Bray. A systematic approach to symmetric presentations. I: Involutory generators. Math. Proc. Cambridge Philos. Soc. 119 (1996), no. 1, 23–34. [AMS Classification: 20F05.]

Web Atlases

1. R.A.Wilson, S.J.Nickerson, J.N.Bray, et al. A www-ATLAS of Finite Group Representations. (The link is to version 2.)
2. J.N.Bray. An ATLAS of [Symmetric] Group Presentations.

GAP Share Package

1. R.A.Wilson, R.A.Parker, J.N.Bray and T.Breuer. AtlasRep GAP4 share package. http://www.gap-system.org/Packages/atlasrep.html.

Work in Preparation, and Other Miscellaneous

1. My publications via MathSciNet (Bielefeld) - that is if it works.

Research

Last updated: 23rd November 2018.