Characterization of finitely generated infinitely iterated wreath products

DOI10.1515/form.2011.144zbMath1293.20033arXiv1104.4198OpenAlexW2963624994MaRDI QIDQ2844276

Eloisa Detomi, Andrea Lucchini

Publication date: 28 August 2013

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4198

zbMATH Keywords

numbers of generatorsinverse limitschief factorstransitive permutation groupsprobabilitiestopologically finitely generated groupsiterated permutational wreath products

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Limits, profinite groups (20E18) Probabilistic methods in group theory (20P05)

Related Items (2)

Invariable generation of iterated wreath products of cyclic groups ⋮ The characterization by automata of certain profinite groups.

Cites Work

• Finite generation of iterated wreath products.
• Random generation of finite and profinite groups and group enumeration.
• On the probability of generating finite groups with a unique minimal normal subgroup.
• The presentation rank of a direct product of finite groups
• On complemented nonabelian chief factors of a finite group
• The probability of generating certain profinite groups by two elements
• Generating wreath products
• Crowns and factorization of the probabilistic zeta function of a finite group.
• A 2-generated just-infinite profinite group which is not positively generated.
• The finite images of finitely generated groups
• The smallest group with non-zero presentation rank
• Probabilistic Generation of Wreath Products of Non-abelian Finite Simple Groups
• PROBABILISTIC GENERATION OF WREATH PRODUCTS OF NON-ABELIAN FINITE SIMPLE GROUPS, II

This page was built for publication: Characterization of finitely generated infinitely iterated wreath products