On commutator subgroups of Sylow 2-subgroups of the alternating group, and the commutator width in wreath products

DOI10.1007/s40879-020-00418-9OpenAlexW3047078814MaRDI QIDQ2024105

Ruslan V. Skuratovskii

Publication date: 3 May 2021

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

Full work available at URL: https://doi.org/10.1007/s40879-020-00418-9

zbMATH Keywords

Sylow 2-subgroupsalternating groupSylow \(p\)-subgroupscommutator widthcommutator subgroupminimal generating setpermutational wreath product

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Simple groups: alternating groups and groups of Lie type (20D06) Commutator calculus (20F12) Groups acting on trees (20E08) Subgroups of symmetric groups (20B35)

Cites Work

• Quadratic equations in the Grigorchuk group.
• Corepresentation of a Sylow \(p\)-subgroup of the group \(S_n\).
• Structure of Sylow 2-subgroups of the alternating groups and normalizers of Sylow subgroups in the symmetric and alternating groups
• Generators and relations for wreath products
• Normal embeddings of p-groups into p-groups
• ON THE COMMUTATOR WIDTH OF PERFECT GROUPS
• ON FINITE GENERATION OF SELF-SIMILAR GROUPS OF FINITE TYPE
• FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE COMMUTATOR WIDTH
• La structure des $p$-groupes de Sylow des groupes symétriques finis
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