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

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  • 2 March 2000
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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