On the Asphericity of a Family of Positive Relative Group Presentations-Reference-Cited by-同舟云学术

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On the Asphericity of a Family of Positive Relative Group Presentations

Published:2017-01-05 Issue:3 Volume:60 Page:545-564
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Aldwaik Suzana,Edjvet Martin

Abstract

AbstractExcluding four exceptional cases, we determine the asphericity of the relative presentation for m ⩾ 2. If H = ⟨g, h⟩ ⩽ G, then the exceptional cases occur when H is isomorphic to C5 or C6.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Spherical diagrams and identities among relations

2. Aspherical relative presentations

3. On the Asphericity of Relative Group Presentations of Arbitrary Length

4. Ahmad A. , Al-Mulla M. and Edjvet M. , Asphericity of length four relative group presentations, J. Alg. Applic., in press.

5. Efficient finite groups arising in the study of relative asphericity

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asphericity and finiteness for certain group presentations;Journal of Algebra;2019-10

2. Aspherical Relative Presentations all Over Again;Groups St Andrews 2017 in Birmingham;2019-04-11

3. Asphericity of positive free product length 4 relative group presentations;Forum Mathematicum;2019-01-01

4. Cyclically presented groups with length four positive relators;Journal of Group Theory;2018-06-15

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