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

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

1998-12-22

arxiv.org/abs/math/9812132v1

Mathematics

Group Theory

34 pages, LaTeX2E, with xypic

Scientific paper

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.

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