Squarefree Polynomials over Finite Fields and Regular Semisimple Classes of Certain Classical Groups
نویسنده
چکیده
Let G be P SL n (q); P SU n (q); Sp 2n (q) or P Sp 2n (q), where q is a power of the prime p. Using results on the numbers of special squarefree polynomials over nite elds, we describe and count the conjugacy classes of p 0-elements with abelian centralizers in G. Similar results are obtained for the semisimple orbits of G on the corresponding nite Lie algebras.
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