Cohomological dimension of discrete modules over profinite groups

Juan José Martínez

Vol. 49 (1973), No. 1, 185–189

DOI: 10.2140/pjm.1973.49.185

Abstract

The main purpose of this note is to show that the finiteness of the cohomological dimension of a discrete module is closely related to the finiteness of its injective dimension. Moreover, a sufficient condition for the finiteness of the cohomological dimension is given. Both results are proved making a heavy use of the theory of cohomological triviality for finite groups.

Mathematical Subject Classification

Primary: 18H15

Milestones

Received: 14 August 1972

Revised: 18 December 1972

Published: 1 November 1973