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

Mathematics – K-Theory and Homology

Scientific paper

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9 pages

Scientific paper

10.1016/j.jnt.2011.05.018

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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