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

✍ Scribed by Jason Fulman

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 135 KB
Volume: 234
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8455

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✦ Synopsis

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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