Conjugacy classes in integral symplectic groups
β Scribed by Qingjie Yang
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 172 KB
- Volume
- 418
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Here we consider algebraic varieties which are closures of products of conjugacy classes in algebraic groups. Estimates for the dimension of such varieties are obtained. Moreover, these estimates are used in some questions of the Invariant Theory. Also, the structure of the monoid generated by the s