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

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

2011-01-24

arxiv.org/abs/1101.4506v1

Journal of Number Theory 131 (2011), 2368-2375

Mathematics

K-Theory and Homology

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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