Generators for Group Homology and a Vanishing Conjecture
Abstract
Letting G=F/R be a finitely-presented group, Hopf's formula expresses the second integral homology of G in terms of F and R. Expanding on previous work, we explain how to find generators of H2(G;Fp). The context of the problem, which is related to a conjecture of Quillen, is presented, as well as example calculations.
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