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math.GR2000
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…
math.GR2000
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…
math.GR2000
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…