Nilpotent injectors in symmetric groups

DOI10.1007/BF02771725zbMath0492.20003OpenAlexW2062612023MaRDI QIDQ1167807

Arie Bialostocki

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02771725

zbMATH Keywords

Carter subgroupsSylow 2-subgroupsinjectors for symmetric groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Subgroups of symmetric groups (20B35)

Related Items (10)

On the B-injectors of sporadic groups ⋮ Soluble subgroups of symmetric and linear groups ⋮ On the conjugacy of nilpotent injectors in finite groups. ⋮ Nilpotent injectors in alternating groups ⋮ Nilpotent injectors in minimal simple groups. ⋮ Nilpotent injectors in finite groups all of whose local subgroups are \(\mathcal N\)-constrained ⋮ More on b-injectors of sporadic groups⁺ ⋮ On the B-Injectors of Groups with Components of Small Rank ⋮ On \(B\)-injectors of the covering groups of \(A_n\). ⋮ Conjugacy classes of maximal nilpotent subgroups

Cites Work

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• Abelian and nilpotent subgroups of maximal order of groups of odd order
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• Injektoren endlicher auflösbarer Gruppen
• Injectors and normal subgroups of finite groups
• The Sylow 2-subgroups of the finite classical groups
• A Note on Burnside's Other p ^α q ^β Theorem
• Injectors of finite solvable groups
• On Abelian Permutation Groups
• Endliche Gruppen I
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p

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