Almost all extraspecial p-groups are Swan groups

Mathematics – Algebraic Topology

Scientific paper

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5 pages

Scientific paper

Let P be an extraspecial p-group which is neither dihedral of order 8, nor of
odd order p^3 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 N_G(P).

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