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

1998/12/22 by Ronald Brown, Brown, Ronald, A. Razak Salleh +1
Mathematics · #18G50 #20F05 #20J05 #20L10 #57M07 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #math.AT #math.GR #msc:18G50 #msc:20F05 #msc:20J05 #msc:20L10 #msc:57M07

paper · pdf · doi:10.48550/arxiv.math/9812132

34 pages, LaTeX2E, with xypic

arxiv created 1998/12/22 · arxiv updated 2009/11/30

Abstract

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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