Using the notion of relative presentation due to Bogley and Pride, we give a new proof of a theorem of Prishchepov on the asphericity of certain symmetric presentations of groups. Then we obtain further results and applications to topology of low-dimensional manifolds.
Asphericity of symmetric presentations / Spaggiari, Fulvia. - In: PUBLICACIONS MATEMÀTIQUES. - ISSN 0214-1493. - STAMPA. - 50:1(2006), pp. 133-147. [10.5565/PUBLMAT_50106_07]
Asphericity of symmetric presentations
SPAGGIARI, Fulvia
2006
Abstract
Using the notion of relative presentation due to Bogley and Pride, we give a new proof of a theorem of Prishchepov on the asphericity of certain symmetric presentations of groups. Then we obtain further results and applications to topology of low-dimensional manifolds.
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