Aspherisity, atorisity and simmetrically presented groups

DOI10.1080/00927879508825522zbMath0861.20036OpenAlexW2113698705MaRDI QIDQ4857422

M. I. Prishchepov

Publication date: 20 May 1997

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

Full work available at URL: https://doi.org/10.1080/00927879508825522

zbMATH Keywords

generatorsaspherical presentationssymmetrically presented groupsatoriodal presentationsdiagrams over presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (19)

Fractional Fibonacci groups with an odd number of generators ⋮ LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS ⋮ HNN EXTENSION OF CYCLICALLY PRESENTED GROUPS ⋮ Cyclically presented groups as labelled oriented graph groups ⋮ Efficient finite groups arising in the study of relative asphericity ⋮ On the generalized Dunwoody 3-manifolds ⋮ ON A FREIHEITSSATZ FOR CYCLIC PRESENTATIONS ⋮ Perfect Prishchepov groups ⋮ GROUPS OF FIBONACCI TYPE REVISITED ⋮ The infinite Fibonacci groups and relative asphericity ⋮ 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 ⋮ Fibonacci groups with aspherical presentations ⋮ Combinatorics of a class of groups with cyclic presentation ⋮ TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS ⋮ The aspherical Cavicchioli–Hegenbarth–Repovš generalized Fibonacci groups ⋮ Asphericity and finiteness for certain group presentations ⋮ On the topology of the groups of type \(\mathfrak{Z}\) ⋮ Isomorphism theorems for classes of cyclically presented groups

Cites Work

• Cohomology theory of aspherical groups and of small cancellation groups
• THE SOLUTION OF SETS OF EQUATIONS IN GROUPS
• The Fibonacci Groups
• Proving Another Group Infinite

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