Title: Almost all extraspecial p-groups are Swan groups Authors: David John Green Pham Anh Minh MSC: 20J06 (20D15 55R35) xxx: math.AT/9911083 Addresses: Dept of Mathematics, University of Wuppertal, Germany Dept of Mathematics, Univertity of Hue, Vietnam E-mail: green@math.uni-wuppertal.de paminh@bdvn.vnmail.vnd.net Date: 27 October 1999 Status: Submitted 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).