The number of regular semisimple elements for Chevalley groups of classical type

DOI10.1006/jabr.1993.1055zbMath0809.20007OpenAlexW2057168256MaRDI QIDQ1210084

Peter Fleischmann, Ingo Janiszczak

Publication date: 16 May 1993

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1055

zbMATH Keywords

deterministic algorithmsroot systemconnected reductive simply connected algebraic groupMöbius inversionsnumbers of regular semisimple conjugacy classessimply connected groups of classical type

Mathematics Subject Classification ID

Related Items (13)

The number of regular semisimple conjugacy classes in the finite classical groups. ⋮ On the computation of conjugacy classes of Chevalley groups ⋮ The number of regular semisimple classes of special linear and unitary groups ⋮ Derangements in subspace actions of finite classical groups ⋮ THE SYMMETRIC GROUP REPRESENTATION ON COHOMOLOGY OF THE REGULAR ELEMENTS OF A MAXIMAL TORUS OF THE SPECIAL LINEAR GROUP ⋮ Degree graphs of simple orthogonal and symplectic groups. ⋮ On degrees of irreducible Brauer characters ⋮ Random matrix theory over finite fields ⋮ Combinatorics and Poincaré polynomials of hyperplane complements for exceptional Weyl groups ⋮ Finite fields, root systems, and orbit numbers of Chevalley groups ⋮ Squarefree polynomials over finite fields and regular semisimple classes of certain classical groups ⋮ Counting semisimple orbits of finite Lie algebras by genus ⋮ The Cuspidal Modules of the Finite General Linear Groups

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