arXiv Analytics

Sign in

arXiv:math/9812132 [math.GR]AbstractReferencesReviewsResources

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

Ronald Brown, A. Razak Salleh

Published 1998-12-22Version 1

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.

Comments: 34 pages, LaTeX2E, with xypic
Categories: math.GR, math.AT
Subjects: 20F05, 20J05, 20L10, 18G50, 57M07
Related articles: Most relevant | Search more
arXiv:math/0502221 [math.GR] (Published 2005-02-11)
Diameters of Cayley graphs of SL_n(Z/kZ)
arXiv:math/0504091 [math.GR] (Published 2005-04-06)
Navigating in the Cayley graphs of SL_N(Z) and SL_N(F_p)
arXiv:2112.08793 [math.GR] (Published 2021-12-16, updated 2022-10-07)
Fire retainment on Cayley graphs

Links

Toolbox