On some questions about a family of cyclically presented groups.

DOI10.1016/j.jalgebra.2008.07.015zbMath1201.20027OpenAlexW1976680217MaRDI QIDQ959775

Fulvia Spaggiari, E. A. O'Brien, Alberto Cavicchioli

Publication date: 12 December 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.07.015

zbMATH Keywords

finiteness conditionsisomorphism problemcyclically presented groupsgeneralised Fibonacci groupsGilbert-Howie groupsSieradski groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05)

Related Items (15)

Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups ⋮ Hyperbolicity of \(T(6)\) cyclically presented groups ⋮ Cyclically presented groups as labelled oriented graph groups ⋮ Fibonacci type presentations and 3-manifolds ⋮ Fibonacci Type Semigroups ⋮ An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators ⋮ Counting isomorphism classes of groups of Fibonacci type with a prime power number of generators ⋮ Tadpole labelled oriented graph groups and cyclically presented groups. ⋮ Perfect Prishchepov groups ⋮ GROUPS OF FIBONACCI TYPE REVISITED ⋮ UNIMODULAR INTEGER CIRCULANTS ASSOCIATED WITH TRINOMIALS ⋮ Combinatorics of a class of groups with cyclic presentation ⋮ An \(L_2\)-quotient algorithm for finitely presented groups. ⋮ Isomorphism theorems for classes of cyclically presented groups ⋮ Shift dynamics of the groups of Fibonacci type

Uses Software

• Magma

Cites Work

• Combinatorial squashings, 3-manifolds, and the third homology of groups
• Proving a group infinite
• The Magma algebra system. I: The user language
• LOG groups and cyclically presented groups
• The aspherical Cavicchioli–Hegenbarth–Repovš generalized Fibonacci groups
• TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS
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