Irreducible bases and subgroups of a wreath product in applying to diffeomorphism groups acting on the Möbius band

DOI10.1007/s12215-020-00514-5OpenAlexW3202127588MaRDI QIDQ2047445

Ruslan V. Skuratovskii, Aled Williams

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00061

zbMATH Keywords

semidirect productwreath productcenter of non regular wreath productfundamental group of orbits of one Morse functionminimal generating set of commutator subgroupquotient by commutator subgroup of wreath product

Mathematics Subject Classification ID

Geometric group theory (20F65) General theory for infinite permutation groups (20B07) Groups acting on trees (20E08) Subgroups of symmetric groups (20B35) Infinite automorphism groups (20B27) Multiply transitive infinite groups (20B22)

Cites Work

• Finite generation of iterated wreath products.
• 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
• Generating wreath products and their augmentation ideals
• Deformations of functions on surfaces by isotopic to the identity diffeomorphisms
• The Rank and Generating Set for Iterated Wreath Products of Cyclic Groups
• Commutators and the Commutator Subgroup
• Smooth and Topological Equivalence of Functions on Surfaces
• ON THE COMMUTATOR WIDTH OF PERFECT GROUPS
• Growth sequences of finite groups
• FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE COMMUTATOR WIDTH
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