On the number of conjugacy classes in finite groups of lie type

DOI10.1080/00927878508823204zbMath0564.20026OpenAlexW1974869966MaRDI QIDQ3677930

D. I. Deriziotis

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823204

zbMATH Keywords

simplicial complexSuzuki groupsBrauer complexsemisimple elementsfinite group of Lie typesimply connected simple algebraic groupfixed point groupconnected centralizerssemisimple conjugacy classesrational endomorphism

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

The semisimple conjugacy classes and the generic class number of the finite simple groups of lie type E₈, On the computation of conjugacy classes of Chevalley groups, Recognising simplicity of black-box groups by constructing involutions and their centralisers., The semisimple conjugacy classes of finite groups of lie type E₆and E₇, CHARACTER STACKS ARE PORC COUNT, On degrees of irreducible Brauer characters, The möbius function of the lattice of closed subsystems of a root system, On the existence of a unipotent support for the irreducible characters of a finite group of Lie type, Finite fields, root systems, and orbit numbers of Chevalley groups

Cites Work

• Unnamed Item
• Unnamed Item
• The centralizers of semisimple elements of the Chevalley groups \(E_ 7\) and \(E_ 8\)
• Intersection cohomology complexes on a reductive group
• The Brauer complex of a Chevalley group
• The conjugate classes of Chevalley groups of type \((G_2)\)
• Rational valued and real valued projective characters of finite groups
• Centralizers of Semisimple Elements in the Finite Classical Groups
• Centralizers of semisimple elements in a chevalley group
• Centralizers of Semisimple Elements in Finite Groups of Lie Type
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]