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Almost all extraspecial p-groups are swan groups

Published online by Cambridge University Press:  17 April 2009

David John Green
Affiliation:
Department of Mathematics, University of Wuppertal, D-42097 Wuppertal, Germany, e-mail: green@math.uni-wuppertal.de
Pham Anh Minh
Affiliation:
Department of Mathematics, University of Hue, 27 Nguyen Hue, HueVietnam
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Abstract

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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 normaliser NG (P).

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2000

References

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