3 citations · 4 across the 10 of their papers we have counts for
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Conjugacy Class Properties of the Extension of GL(n,q) Generated by the Inverse Tranpose Involution
Jason Fulman, Robert Guralnick
Letting tau denote the inverse transpose automorphism of GL(n,q), a formula is obtained for the number of g in GL(n,q) so that gg^{tau} is equal to a given element h. This generali…
Derangements in simple and primitive groups
Jason Fulman, Robert Guralnick
We investigate the proportion of fixed point free permutations (derangements) in finite transitive permutation groups. This article is the first in a series where we prove a conjec…
Finite Affine Groups: Cycle Indices, Hall-Littlewood Polynomials, and Probabilistic Algorithms
Jason Fulman
The asymptotic study of the conjugacy classes of a random element of the finite affine group leads one to define a probability measure on the set of all partitions of all positive…
Random matrix theory over finite fields: a survey
Jason Fulman
First we survey generating function methods for obtaining useful probability estimates about random matrices in the finite classical groups. Then we describe a probabilistic pictur…
A Probabilistic Approach to Conjugacy Classes in the Finite Symplectic and Orthogonal Groups
Jason Fulman
Markov chains are used to give a purely probabilistic way of understanding the conjugacy classes of the finite symplectic and orthogonal groups in odd characteristic. As a corollar…
Semisimple orbits of Lie algebras and card shuffling on Coxeter groups
Jason Fulman
Random walk on the chambers of hyperplanes arrangements is used to define a family of card shuffling measures for a finite Coxeter group W and real . By algebra…