Asphericity of positive free product length 4 relative group presentations

Author:

Aldwaik Suzana,Edjvet Martin,Juhász Arye

Abstract

Abstract Excluding some exceptional cases, we determine the asphericity of the relative presentation {\mathcal{P}=\langle G,x\mid ax^{m}bx^{n}\rangle} , where {a,b\in G\setminus\{1\}} and {1\leq m\leq n} . If {H=\langle a,b\rangle\leq G} , the exceptional cases occur when {a=b^{2}} or when H is isomorphic to {C_{6}} .

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Reference36 articles.

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2. On the asphericity of a family of relative group presentations;Internat. J. Algebra Comput.,2009

3. On the asphericity of a family of positive relative group presentations;Proc. Edinb. Math. Soc. (2),2017

4. Aspherical relative presentations all over again;Groups St Andrews 2017 in Birmingham

Cited by 2 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

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