The cohomology ring of a combinatorially aspherical group

Abstract

A presentation is given for the cohomology ring of a finitely presented combinatorially aspherical group with trivial coefficients in an integral domain. Cohomological periodicity is characterized in terms of the cup product. 1980 Mathematics subject classification (Amer. Math. Soc.) (1985 Revision): Primary 20 J 05; secondary 20 F 05. © 1989, Australian Mathematical Society. All rights reserved.