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On the Asphericity of a Family of Positive Relative Group Presentations

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Abstract Excluding 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… Click to show full abstract

Abstract Excluding 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 C 5 or C 6.

Keywords: family positive; asphericity family; group presentations; positive relative; relative group

Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2017

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