Papers › An algorithm for low dimensional group homology
An algorithm for low dimensional group homology
Joshua Roberts
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Given a finitely presented group G, Hopf's formula expresses the second integral homology of G in terms of generators and relators. We give an algorithm that exploits Hopf's formula to estimate H₂(G;k), with coefficients in a finite field k, and give examples using G=SL₂ over specific rings of integers. These examples are related to a conjecture of Quillen.
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