ON THE ASPHERICITY OF A FAMILY OF RELATIVE GROUP PRESENTATIONS

Author:

DAVIDSON PETER J.1

Affiliation:

1. Department of Mathematics, University of Strathclyde, Glasgow G1 1XH, United Kingdom

Abstract

Excluding four unresolved cases, we give a classification of asphericity in relative presentations of the form 〈H, t; tnat-1b〉 where the orders of a and b are both at least 3.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 9 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. The infinite Fibonacci groups and relative asphericity;Transactions of the London Mathematical Society;2017-10-02

5. Asphericity of a length four relative group presentation;Journal of Algebra and Its Applications;2017-04

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