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

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.

preprint2011arXivOpen access
Mathieu Dutour SikiricGraham EllisAchill Schuermann
math.GRmath.KT
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Mathieu Dutour SikiricGraham EllisAchill Schuermann

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