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arXiv · 1101.4506

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

Mathieu Dutour Sikiric·Graham Ellis·Achill Schuermann
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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(2π{i}/3)]) in degrees at most 5.

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Mathieu Dutour Sikiric, Graham Ellis, Achill Schuermann. 2011-01-24. On the integral homology of PSL4(Z) and other arithmetic groups. https://doi.org/10.1016/j.jnt.2011.05.018

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