Free crossed resolutions of groups and presentations of modules of identities among relations
classification
🧮 math.GR
math.AT
keywords
crossedfreegroupidentitiesmodulepartialpresentationrelations
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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.
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