scientific article; zbMATH DE number 7329534

zbMath1475.20033MaRDI QIDQ5857011

Ruslan V. Skuratovskii

Publication date: 30 March 2021

Full work available at URL: http://www.math.md/publications/basm/issues/y2020-n1/13152/

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zbMATH Keywords

wreath product of groupscommutator subgroup of alternating groupcommutator width of Sylow \(p\)-subgroupscommutator width of wreath productminimal generating set of the commutator subgroup of Sylow 2-subgroups

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) Commutator calculus (20F12) Subgroups of symmetric groups (20B35)

Related Items (2)

The structure of groups with cyclic commutator subgroups indecomposable to a subdirect product of groups ⋮ Irreducible bases and subgroups of a wreath product in applying to diffeomorphism groups acting on the Möbius band

Cites Work

• 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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