Almost all extraspecial p-groups are Swan groups

David J. Green (University of Wuppertal; Germany); Pham Anh Minh (University of Hue; Vietnam)

arxiv: math/9911083 · v1 · pith:DV2B5CK2new · submitted 1999-11-12 · 🧮 math.AT · math.GR

Almost all extraspecial p-groups are Swan groups

David J. Green (University of Wuppertal , Germany) , Pham Anh Minh (University of Hue , Vietnam) This is my paper

classification 🧮 math.AT math.GR

keywords extraspecialorderalmostcohomologycoincidesdihedralexponentfinite

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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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Almost all extraspecial p-groups are Swan groups

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