A characteristic subgroup of \(\Sigma_ 4\)-free groups

DOI10.1007/BF02762712zbMath0855.20020MaRDI QIDQ1916902

Bernd Stellmacher

Publication date: 27 January 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite groupsfinite simple groupsembeddingsSylow \(p\)-subgroupscharacteristic subgroups\(ZJ\)-theorem

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25)

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A new characteristic subgroup for finite 𝑝-groups, A new characteristic subgroup of a \(p\)-stable group., A brief history of the classification of the finite simple groups, Finite simple \(3'\)-groups are cyclic or Suzuki groups., Finite groups of rank two which do not involve 𝑄𝑑(𝑝), Sparse fusion systems, More on a question of M. Newman on isomorphic subgroups of solvable groups, On locally semiprimitive graphs and a theorem of Weiss, On a question of G. Glauberman about a replacement theorem for finite \(p\)-groups, Reduction theorems for characteristic functors on finite \(p\)-groups and applications to \(p\)-nilpotence criteria., A characteristic subgroup for fusion systems.

Cites Work

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• 2-fusion in finite groups
• An Analogue to Glauberman's ZJ-Theorem
• Subgroups of finite groups
• Endliche Gruppen I
• On 2-Modular Representations of the Suzuki Groups
• On a class of doubly transitive groups