Asphericity of positive free product length 4 relative group presentations

Aldwaik, Suzana; Edjvet, Martin; Juhasz, Arye

Abstract

© 2018 Walter de Gruyter GmbH, Berlin/Boston. Excluding some exceptional cases, we determine the asphericity of the relative presentation P = ,where a, b ∈ G \ {1} and 1 ≤ m ≤ n. If H = ≤ G, the exceptional cases occurwhen a = b2 or when H is isomorphic to C6..

Citation

Aldwaik, S., Edjvet, M., & Juhasz, A. (2019). Asphericity of positive free product length 4 relative group presentations. Forum Mathematicum, 31(1), 49-68. https://doi.org/10.1515/forum-2017-0141

• Journal Article Type: Article
• Acceptance Date: Jul 27, 2018
• Online Publication Date: Sep 10, 2018
• Publication Date: Jan 1, 2019
• Deposit Date: Aug 20, 2018
• Publicly Available Date: Jun 10, 2020
• Journal: Forum Mathematicum
• Print ISSN: 0933-7741
• Electronic ISSN: 1435-5337
• Publisher: De Gruyter
• Peer Reviewed: Peer Reviewed
• Volume: 31
• Issue: 1
• Pages: 49-68
• DOI: https://doi.org/10.1515/forum-2017-0141
• Public URL: https://nottingham-repository.worktribe.com/output/1036931
• Publisher URL: https://www.degruyter.com/view/j/forum.2019.31.issue-1/forum-2017-0141/forum-2017-0141.xml