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Asphericity of positive free product length 4 relative group presentations

  • Suzana Aldwaik , Martin Edjvet EMAIL logo und Arye JuhĂĄsz
Veröffentlicht/Copyright: 10. September 2018

Abstract

Excluding some exceptional cases, we determine the asphericity of the relative presentation đ’«=〈G,x∣a⁹xm⁹b⁹xn〉, where a,b∈G∖{1} and 1≀m≀n. If H=〈a,b〉≀G, the exceptional cases occur when a=b2 or when H is isomorphic to C6.

MSC 2010: 20F05; 57M05

Communicated by Manfred Droste


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Received: 2017-07-03
Revised: 2018-06-11
Published Online: 2018-09-10
Published in Print: 2019-01-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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