Here’s
a selection of papers published since 2003.
Clicking
on the title of a paper will take you to a page from which you can download the
paper in at least one format.
The
classification of almost simple 3/2-transitive groups
(with J. Bamberg, M. Giudici,
C. Praeger and J. Saxl), Transactions Amer. Math. Soc., to appear
Product
decompositions in finite simple groups
(with N. Nikolov, A. Shalev),
Bulletin
The
density of representation degrees
(with A. Shalev and D. Segal),
J. European Math. Soc., to appear
Commutators in finite quasisimple groups
(with E. O'Brien, A. Shalev,
P. Tiep), Bulletin
Fixed points of
elements of linear groups
(with A. Shalev), Bulletin
Products
of squares in finite simple groups
(with E. O'Brien, A. Shalev,
P. Tiep), Proc. Amer. Math. Soc., to appear
A rigid triple of conjugacy classes in G_2
(with A. Litterick and C.
Marion), J. Group Theory 14 (2011), 31--36
Groups of
Lie type as products of SL_2 subgroups
(with
A conjecture on
product decompositions in simple groups
(with
(with E. O'Brien, A. Shalev, P. Tiep), J. European Math. Soc. 12 (2010),
939 - 1008
On regular subgroups
of primitive permutation groups
(with C. Praeger and J. Saxl),
Memoirs Amer. Math. Soc. 203 (2010), No. 952, pp. 1-88
Primitive
permutation groups of bounded orbital diameter
(with H.D. Macpherson and K. Tent), Proc.
Base
sizes for simple groups and a conjecture of Cameron
(with T. Burness and A. Shalev), Proc. London Math. Soc. 98 (2009),
116-162
Short
Two-Variable Identities for Finite Groups
(with D. Cargo. W. de Launey and R. Stafford), J. Group Theory 11
(2008), 675-690
The sparsity
of dimensions of irreducible representations of finite simple groups
(with A. Shalev), Bull.
Finding the characteristic of a group of Lie
type
(with E. O'Brien), J. London Math. Soc. 75 (2007), 741-754
(with A. Shalev), J. Algebra 317 (2007), 184-197
Fuchsian groups, finite simple groups and representation varieties
(with Aner Shalev), Inventiones Math. 159 (2005), 317-367
On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function
(with Ben Martin and Aner Shalev), Duke Math. J. 128 (2005), 541-557
Character degrees and random walks in finite groups of Lie type
(with Aner Shalev), Proc. London Math. Soc. 90 (2005), 61-86
Maximal subgroups of large rank in exceptional groups of Lie type
(with Gary Seitz), J. London Math. Soc. 71 (2005), 345-361
Irreducible subgroups of algebraic groups
(with Donna Testerman), Quarterly J. Math 55 (2004), 47-55
Subgroups of exceptional algebraic groups which are irreducible on an adjoint or minimal module
(with Gary Seitz), J. Group Theory 7 (2004), no. 3, 347-372
Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks
(with Aner Shalev), J. Algebra 276 (2004), 552-601.
The maximal subgroups of positive dimension in exceptional algebraic groups
(with Gary Seitz), Memoirs Amer. Math. Soc. 169 (2004), no. 802, vi+227 pp.
The number of homomorphisms from a finite group to a general linear group
(with Aner Shalev), Communications in Algebra 32 (2004), 657-661
Residual properties of the modular group and other free products
(with Aner Shalev), J. Algebra 268 (2003), 264-285
Residual properties of free products of finite groups
(with Aner Shalev), J. Algebra 268 (2003), 286-289
Variations on a theme of Steinberg
(with Gary Seitz), J. Algebra 260 (2003), 261-297
A survey of maximal subgroups of exceptional groups of Lie type
(with Gary Seitz), in
Groups, Combinatorics and Geometry:
Bases of primitive permutation groups
(with Aner Shalev), in
Groups, Combinatorics and Geometry: