Finite groups have local non-Schur centralizers

DOI10.1007/BF03026547zbMath0820.20025OpenAlexW2018794851MaRDI QIDQ1313574

Wolfgang Lempken, Peter Fleischmann, Ingo Janiszczak

Publication date: 11 September 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155869

zbMATH Keywords

finite groupscentralizers\(p\)-singular elementscommutator subgroup\(p\)-partsDonald-Flanigan conjecture

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (9)

Nontriviality of the first Hochschild cohomology of some block algebras of finite groups ⋮ Hochschild cohomology of symmetric groups and generating functions. II ⋮ On the Lie algebra structure of integrable derivations ⋮ The nonvanishing first Hochschild cohomology of twisted finite simple group algebras ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Hecke algebras, 𝑈_{𝑞}𝑠𝑙_{𝑛}, and the Donald-Flanigan conjecture for 𝑆_{𝑛} ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ Cohomology of finite groups: interactions and applications. Abstracts from the workshop held August 9--15, 2020 (hybrid meeting) ⋮ The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups

Cites Work

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• A group-theoretic consequence of the Donald-Flanigan conjecture
• The conjugate classes of Chevalley groups of type \((G_2)\)
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• The semisimple conjugacy classes of finite groups of lie type E₆and E₇
• Endliche Gruppen I

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