An algorithm for low dimensional group homology
Algebraic Topology
2012-11-13 v3 K-Theory and Homology
Abstract
Given a finitely presented group , Hopf's formula expresses the second integral homology of in terms of generators and relators. We give an algorithm that exploits Hopf's formula to estimate , with coefficients in a finite field k, and give examples using over specific rings of integers. These examples are related to a conjecture of Quillen.
Keywords
Cite
@article{arxiv.0901.2610,
title = {An algorithm for low dimensional group homology},
author = {Joshua Roberts},
journal= {arXiv preprint arXiv:0901.2610},
year = {2012}
}
Comments
12 pages, requires algorithm and clrscode packages. Typos corrected