Maximal abelian subgroups of the finite symmetric group

DOI10.22108/ijgt.2020.122036.1603zbMath1491.20009OpenAlexW3133055477MaRDI QIDQ5854511

Janusz Konieczny

Publication date: 17 March 2021

Full work available at URL: https://doaj.org/article/5392d4012db3423e93457d5b2dcf2cec

zbMATH Keywords

symmetric groupsmaximal abelian subgroupsabelian ranksecond centralizers

Mathematics Subject Classification ID

Maximal subgroups (20E28) Subgroups of symmetric groups (20B35)

Cites Work

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• A classification of certain maximal subgroups of symmetric groups.
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• Maximal order Abelian Subgroups of Symmetric Groups
• CENTRALIZERS IN THE SEMIGROUP OF INJECTIVE TRANSFORMATIONS ON AN INFINITE SET
• Second centralizers in the semigroup of injective transformations
• On Abelian Permutation Groups
• Maximal Abelian Subgroups of the Symmetric Groups