On the computation of conjugacy classes of Chevalley groups

DOI10.1007/BF01190331zbMath0882.20031OpenAlexW2024669488MaRDI QIDQ1912711

Ingo Janiszczak, Peter Fleischmann

Publication date: 10 March 1998

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190331

zbMATH Keywords

algorithmscentralizersChevalley groupsconnected reductive algebraic groupsexceptional Chevalley groupsFrobenius endomorphismsgenus numberssemisimple conjugacy classesgeneric class numbersnumbers of regular semisimple classes

Mathematics Subject Classification ID

Related Items (5)

The number of regular semisimple classes of special linear and unitary groups ⋮ Classifying Finite Simple Groups with Respect to the Number of Orbits Under the Action of the Automorphism Group ⋮ Finite fields, root systems, and orbit numbers of Chevalley groups ⋮ Squarefree polynomials over finite fields and regular semisimple classes of certain classical groups ⋮ COUNTING THE ORBITS ON FINITE SIMPLE GROUPS UNDER THE ACTION OF THE AUTOMORPHISM GROUP – SUZUKI GROUPS VS. LINEAR GROUPS

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• The möbius function of the lattice of closed subsystems of a root system
• Endomorphisms of linear algebraic groups

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