The integral cohomology rings of U3(5) and HS
at the prime 5
by Matthew Bardoe, Stephen F. Siegel, and Kristin Umland
Abstract.
In this paper we calculate the localization at the prime 5 of the
integral cohomology ring of the 3-dimensional Unitary group over the
field of twenty-five elements, and for the Higman-Sims
sporadic simple group. For both of these groups the Sylow subgroup is
isomorphic to the extraspecial group of height 5 and order 125.
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Stephen F. Siegel /
LASER /
Dept of Comp. Sci. /
UMass