Vol. 17, No. 3, 1966

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ISSN: 0030-8730
Cohomology of cyclic groups of prime square order

Judy Parr

Vol. 17 (1966), No. 3, 467–473
Abstract

Let G be a cyclic group of order p2, p a prime, and let U be its unique proper subgroup. If A is any G-module, then the four cohomology groups

H0 (G,A)  H1 (G, A)  H0(U,A ) H1 (U,A)

determine all the cohomology groups of A with respect to G and to U. This article determines what values this ordered set of four groups takes on as A runs through all finitely generated G-modules.

Mathematical Subject Classification
Primary: 18.20
Milestones
Received: 27 December 1963
Published: 1 June 1966
Authors
Judy Parr