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Abstract: Given a finitely presented group $G$, Hopf-s formula expresses the secondintegral homology of $G$ in terms of generators and relators. We give analgorithm that exploits Hopf-s formula to estimate $H 2G;k$, withcoefficients in a finite field k, and give examples using $G=SL 2$ overspecific rings of integers. These examples are related to a conjecture ofQuillen.



Author: Joshua Roberts

Source: https://arxiv.org/



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