Almost all extraspecial p-groups are Swan groups
Algebraic Topology
2015-02-23 v1 Group Theory
Abstract
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).
Keywords
Cite
@article{arxiv.math/9911083,
title = {Almost all extraspecial p-groups are Swan groups},
author = {David J. Green and Pham Anh Minh},
journal= {arXiv preprint arXiv:math/9911083},
year = {2015}
}
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5 pages