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

Achill Schuermann; Graham Ellis; Mathieu Dutour Sikiric

arxiv: 1101.4506 · v1 · pith:ZF6VXCQTnew · submitted 2011-01-24 · 🧮 math.KT · math.GR

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

Mathieu Dutour Sikiric , Graham Ellis , Achill Schuermann This is my paper

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keywords degreeshomologyintegralarithmeticdeterminegroupsotherpgl3

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

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