LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS

DOI10.1142/S021819671250035XzbMath1269.20026OpenAlexW2170133940MaRDI QIDQ3166266

Alun G. T. Williams

Publication date: 10 October 2012

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

Full work available at URL: https://doi.org/10.1142/s021819671250035x

zbMATH Keywords

SQ-universalitysubgroups of finite indexnon-Abelian free subgroupscyclically presented groupslargeness

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (6)

On the Tits alternative for cyclically presented groups with length-four positive relators ⋮ Redundant relators in cyclic presentations of groups ⋮ Perfect Prishchepov groups ⋮ Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups ⋮ Generalized Fibonacci groups \(H(r,n,s)\) that are connected labelled oriented graph groups ⋮ Isomorphism theorems for classes of cyclically presented groups

Cites Work

• Unnamed Item
• Combinatorics of a class of groups with cyclic presentation
• Amalgamated products and finitely presented groups
• Combinatorial squashings, 3-manifolds, and the third homology of groups
• Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative
• LOG groups and cyclically presented groups
• Intersections of Magnus subgroups and embedding theorems for cyclically presented groups.
• Asphericity of symmetric presentations.
• Small cancellation theory over free products with amalgamation
• Generalized triangle groups
• On infinite groups of Fibonacci type
• On metacyclic Fibonacci groups
• Some groups of Fibonacci type
• A Note on Fibonacci Type Groups
• Some remarks about fibonacci groups and semigroups
• TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS
• Equations of length 4 and one-relator products
• Irreducible Cyclic Presentations of the Trivial Group
• ON THE FREIHEITSSATZ IN CERTAIN ONE-RELATOR FREE PRODUCTS I
• Aspherisity, atorisity and simmetrically presented groups
• One-relator quotients of free products of cyclic groups
• ON A FREIHEITSSATZ FOR CYCLIC PRESENTATIONS

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