The semisimple conjugacy classes and the generic class number of the finite simple groups of lie type E8

DOI10.1080/00927879408824962zbMath0816.20015OpenAlexW2052353856MaRDI QIDQ4290601

Peter Fleischmann, Ingo Janiszczak

Publication date: 18 July 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824962

zbMATH Keywords

algebraic groupadjoint groupssemisimple conjugacy classesfinite simple group of Lie type \(E_ 8\)

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items

The divisibility graph of finite groups of Lie type, On the computation of conjugacy classes of Chevalley groups, On the generating graph of direct powers of a simple group., The spread of a finite group, Finite groups whose same degree characters are Galois conjugate., Characteristic covering numbers of finite simple groups, On base sizes for algebraic groups, The Ore conjecture., A computational approach to the Frobenius–Schur indicators of finite exceptional groups, Odd-Degree Characters and Self-Normalizing Sylow 2-Subgroups: A Reduction to Simple Groups, Finite fields, root systems, and orbit numbers of Chevalley groups, Black box exceptional groups of Lie type, Imprimitive irreducible modules for finite quasisimple groups, Counting semisimple orbits of finite Lie algebras by genus

Cites Work

• The centralizers of semisimple elements of the Chevalley groups \(E_ 7\) and \(E_ 8\)
• On the number of conjugacy classes in finite groups of lie type
• The semisimple conjugacy classes of finite groups of lie type E₆and E₇