Almost all extraspecial p-groups are Swan groups
David J. Green, Pham Anh Minh
Abstract
Let P be an extraspecial p-group which is neither dihedral of order 8, nor of odd order p3 and exponent p. Let G be a finite group having P as a Sylow p-subgroup. Then the mod-p cohomology ring of G coincides with that of the normalizer NG(P).
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