On Trivial Intersection of Cyclic Sylow Subgroups

DOI10.2307/2044865zbMath0575.20014OpenAlexW4244772389MaRDI QIDQ3695448

Harvey I. Blau

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044865

zbMATH Keywords

irreducible characterdefect groupclassification of finite simple groupscyclic Sylow p-subgrouptrivial intersection set

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (11)

On linear groups with a cyclic or T.I. Sylow subgroup ⋮ Covering the set of \(p\)-elements in finite groups by Sylow \(p\)-subgroups ⋮ Minimal modular character degrees for groups with a cyclic Sylow subgroup ⋮ Invariant TI-subgroups and structure of finite groups ⋮ On linear groups of degrees at most \(|{} P|{} -1\) ⋮ A conjecture of Frobenius and the simple groups of Lie type. III ⋮ Quasi-simple groups all of whose non-principal blocks are of defect zero ⋮ Linear groups of degree at most 27 over residue rings modulo \(p^k\). ⋮ On a conjecture of Frobenius ⋮ Pseudo Frobenius numbers ⋮ Special blocks of finite groups.

Cites Work

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• On Brauer stars
• Character degrees of groups with a cyclic sylow subgroup
• The local structure of finite groups of characteristic 2 type
• Centralizers of Semisimple Elements in the Finite Classical Groups
• Centralizers of Semisimple Elements in Finite Groups of Lie Type
• Endomorphisms of linear algebraic groups
• On finite linear groups

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