Mathematics – Group Theory
Scientific paper
2000-03-02
Mathematics
Group Theory
Revised version; to appear in J. Algebra. Same results. We fix a possibly misleading typo, replacing u by u^2 in some normaliz
Scientific paper
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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