A probabilistic approach to conjugacy classes in the finite symplectic and orthogonal groups

JOURNAL OF ALGEBRA

卷:234

Article

Fulman, J

关键词: conjugacy class;    eigenvalue;    random matrix;    classical group;    Markov chain;   

DOI  :  10.1006/jabr.2000.8455

来源: Elsevier

【 摘 要 】

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. (C) 2000 Academic Press.

【 授权许可】

Free