On the asphericity of one-relator relative presentations

DOI10.1017/S0308210500028614zbMath0821.20014MaRDI QIDQ4312028

Martin Edjvet

Publication date: 3 October 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

asphericityone-relator presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65)

Related Items (14)

NEW INVARIANTS FOR GROUPS ⋮ Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups ⋮ Efficient finite groups arising in the study of relative asphericity ⋮ On shift dynamics for cyclically presented groups. ⋮ Counting isomorphism classes of groups of Fibonacci type with a prime power number of generators ⋮ Asphericity of a length four relative group presentation ⋮ ON THE ASPHERICITY OF CERTAIN RELATIVE PRESENTATIONS OVER TORSION-FREE GROUPS ⋮ Asphericity of positive free product length 4 relative group presentations ⋮ GROUPS OF FIBONACCI TYPE REVISITED ⋮ The infinite Fibonacci groups and relative asphericity ⋮ On the Asphericity of Relative Group Presentations of Arbitrary Length ⋮ ON THE ASPHERICITY OF A FAMILY OF RELATIVE GROUP PRESENTATIONS ⋮ Asphericity and finiteness for certain group presentations ⋮ Shift dynamics of the groups of Fibonacci type

Cites Work

• Spherical diagrams and identities among relations
• Cohomology theory of aspherical groups and of small cancellation groups
• The solution of length three equations over groups
• Aspherical relative presentations
• Equations Over Groups and a Theorem of Higman, Neumann, and Neumann

This page was built for publication: On the asphericity of one-relator relative presentations