THE INTEGRAL COHOMOLOGY OF SOME p-GROUPS

Abstract

We determine the integral cohomology structure of a p-group expressible as an extension with kernel cyclic of order p and quotient C _{p ⁿ} × C _p , where n ≥ 2 and p is an odd prime.

Keywords:

• Integral cohomology
• Lyndon-Hochschild-Serre spectral sequence
• Poincaré series

ACKNOWLEDGMENTS

Most of the work in this paper forms a part of the author's doctoral dissertation submitted to the University of Queensland in 1995. The author thanks her supervisor Dr. B.D. Jones for his kind encouragement and Dr. I.J. Leary for his helpful comments on group cohomology calculations.