摘要

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 H(2)(G; k), with coefficients in a finite field k, and give examples using G = SL(2) over specific rings of integers. These examples are related to a conjecture of Quillen.

  • 出版日期2010

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