The cohomology rings of the special affine group of Fp 2 and of PSL(3,p)
The cohomology rings of the special affine group of Fp 2 and of PSL(3,p)
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Date
2008-05-09
Authors
Long, Jane Holsapple
Advisor
Schafer, James A
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Abstract
The special affine group of Fp^2, p an odd prime, denoted Qd(p), plays an important role in the search for free actions by finite groups on products of spheres. The mod-p and integral cohomology rings of Qd(p) are computed and, as an extension of these results, the mod-p and p-primary part of the integral cohomology of the simple group PSL(3,p) are computed. Various properties of these rings are discussed.