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A Probabilistic Approach to Conjugacy Classes in the Finite Symplectic and Orthogonal Groups

Jason Fulman
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Abstract

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 corollary of these methods one obtains a probabilistic proof of Steinberg's count of unipotent matrices and generalizations of formulas of Rudvalis and Shinoda.

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Jason Fulman. 2000-11-06. A Probabilistic Approach to Conjugacy Classes in the Finite Symplectic and Orthogonal Groups. https://arxiv.org/abs/math/0003010

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