Non-solvable finite groups with cyclic Sylow p-subgroups have non- principal p-blocks

DOI10.1016/0021-8693(83)90143-6zbMath0511.20006OpenAlexW2077563347MaRDI QIDQ1839031

Gerhard O. Michler

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90143-6

zbMATH Keywords

modular representationsimple groups of Lie typeprincipal blockcyclic Sylow p-subgroupgroups with one p-block

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items

Finite simple groups of Lie type have non-principal p-blocks, p\(\neq 2\), A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\), Representations of finite groups, On linear groups of degrees at most \(|{} P|{} -1\)

Cites Work

• On groups of even order
• On transitive simple permutation groups of degree \(2p\)
• Über die Zerlegungszahlen der unitären Gruppen \(PSU(3,2^{2f})\)
• Green correspondence between blocks with cyclic defect groups. I
• On characterizing finite Chevalley groups of type \(E_6\) and their twisted analogs
• Finite linear groups with a strongly self-centralizing Sylow subgroup. II
• Über die Zerlegungszahlen der Suzukigruppen Sz(q)
• A characterization of finite orthogonal simple groups
• Odd-order extensions of some orthogonal groups
• Characterization of the finite simple groups \(PSp_{2n}(q)\)
• Some applications of the theory of blocks of characters of finite groups. I
• Representations of Algebraic Groups
• Involutions in Chevalley groups over fields of even order
• On Ree's Series of Simple Groups
• On a paper of fox about a method for calculating the ordinary irreducible characters of symmetric groups
• A Characterization of the Finite Simple Groups PS_p(4, q), G₂(q), I
• Endliche Gruppen I
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)
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