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Squarefree Polynomials over Finite Fields and Regular Semisimple Classes of Certain Classical Groups

✍ Scribed by Peter Fleischmann

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 471 KB
Volume: 4
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1998.0205

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✦ Synopsis

Let G be PS¸L(q), PSº L (q), Sp L (q) or PSp L (q), where q is a power of the prime p. Using results on the numbers of special squarefree polynomials over finite fields, we describe and count the conjugacy classes of p-elements with abelian centralizers in G. Similar results are obtained for the semisimple orbits of G on the corresponding finite Lie algebras.

📜 SIMILAR VOLUMES

Homology of classical groups over finite

Homology of classical groups over finite fields and their associated infinite loop spaces: Z. Fiedorowicz and S. Priddy, Springer, 1978, 434 pp.

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