COSET ENUMERATION FOR CERTAIN INFINITELY PRESENTED GROUPS

DOI10.1142/S0218196711006637zbMath1235.20031arXiv1106.0259MaRDI QIDQ3110892

René Hartung

Publication date: 16 January 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0259

zbMATH Keywords

algorithmssubgroups of finite indexfinitely generated subgroupsGrigorchuk groupsself-similar groupsfinite \(L\)-presentationsinfinite presentationsrecursive presentationssubgroup membership problemcoset enumerationlow-index subgroups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (4)

Algorithms for finitely \(L\)-presented groups and their applications to some self-similar groups. ⋮ On generalized conjugacy and some related problems ⋮ ON n-ENGEL PAIR SATISFYING CERTAIN CONDITIONS ⋮ Computability of finite quotients of finitely generated groups

Uses Software

• NQL

Cites Work

• Unnamed Item
• Amenability via random walks.
• Lie algebras and growth in branch groups.
• Non-amenable finitely presented torsion-by-cyclic groups.
• Endomorphic presentations of branch groups.
• Solvability of groups of odd order
• Asymptotic aspects of Schreier graphs and Hanoi Towers groups.
• Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients
• Determining Subgroups of a Given Finite Index in a Finitely Presented Group
• A NILPOTENT QUOTIENT ALGORITHM FOR CERTAIN INFINITELY PRESENTED GROUPS AND ITS APPLICATIONS
• Proving a group trivial made easy: A case study in coset enumeration
• A finitely generated, infinitely related group with trivial multiplicator
• A practical method for enumerating cosets of a finite abstract group
• On the failure of the co-Hopf property for subgroups of word-hyperbolic groups

This page was built for publication: COSET ENUMERATION FOR CERTAIN INFINITELY PRESENTED GROUPS