Free crossed resolutions of groups and presentations of modules of identities among relations

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We give formulae for a module presentation of the module of identities among relations for a presentation of a group, in terms of information on 0- and 1-combings of the Cayley graph. This is seen as a special case of extending a partial free crossed resolution of a group given a partial contracting homotopy of its universal cover.
34 pages, LaTeX2E, with xypic

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Group Theory, Algebraic Topology, 20F05,20J05,20L10,18G50,57M07

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http://salesiana.dossiersoluciones.com/handle/123456789/77884

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812132
 http://arxiv.org/abs/math/9812132

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arXiv