The groups \((2, m \mid n, k \mid 1, q)\): finiteness and homotopy

DOI10.1515/jgth-2020-0009zbMath1482.20019OpenAlexW3113872848MaRDI QIDQ831190

Edward Bennett, Mark Dennis, Martin Edjvet

Publication date: 11 May 2021

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2020-0009

zbMATH Keywords

homotopy groupcomputations in finitely presented groupsEilemberg-MacLane spacepresentation of group

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Uses Software

• GAP

Cites Work

• The groups \((l,m\mid n,k)\)
• The groups \((2,3,p;q)\); asphericity and a conjecture of Coxeter
• On certain quotients of the triangle groups
• The Quotient of a Free Product of Groups by a Single High-Powered Relator. I. Pictures. Fifth and Higher Powers
• Aspherical relative presentations
• On the Abstract Groups (3, n , p ;2)
• The Abstract Groups G m,n,p
• Aspherical Relative Presentations all Over Again
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