Title: Almost all extraspecial p-groups are Swan groups Authors: David John Green Pham Anh Minh Date: 27 October 1999 Status: Submitted for publication 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). 1991 Mathematics Subject Classification: Primary 20J06; Secondary 20D15, 55R35