On the number of conjugacy classes of \(\pi\)-elements in a finite group

DOI10.1006/jabr.1997.7377zbMath0936.20015OpenAlexW2053514644MaRDI QIDQ1271026

Geoffrey R. Robinson, Burkhard Külshammer

Publication date: 15 May 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7377

zbMATH Keywords

finite groups\(\pi\)-separable subgroupsconjugacy classes of \(\pi\)-elementssolvable \(\pi\)-subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30)

Cites Work

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• On the representation theory of \(\pi\)-separable groups
• On local control of the number of conjugacy classes
• Twisted group algebras over arbitrary fields
• On Characters of Relatively Projective Modules
• Further consequences of conjectures like Alperin's