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On the integral homology of PSL4(Z) and other arithmetic groups

Published 24 Jan 2011 in math.KT and math.GR | (1101.4506v1)

Abstract: We determine the integral homology of PSL4(Z) in degrees at most 5 and determine its p-part in higher degrees for the primes p>=5. Our method applies to other arithmetic groups; as illustrations we include descriptions of the integral homology of PGL3(Z[i]) and PGL3(Z[\exp(2\pi{i}/3)]) in degrees at most 5.

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