Articles with "group presentations" as a keyword



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Asphericity and finiteness for certain group presentations

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Published in 2019 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2019.06.028

Abstract: Abstract We study diagrammatic reducibility for the relative group presentations R n ( k , l , e ) = 〈 H , x | t 3 x k t 2 x e ( k… read more here.

Keywords: asphericity finiteness; finiteness certain; group presentations; group ... See more keywords
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On the Asphericity of a Family of Positive Relative Group Presentations

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Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"

DOI: 10.1017/s0013091516000419

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… read more here.

Keywords: family positive; asphericity family; group presentations; positive relative ... See more keywords