Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium ; LAMFA, Faculté de Mathématiques, Université de Picardie Jules Verne, 33 rue St Leu, 80039 Amiens Cedex, France
Abstract:
A rank two abelian group is in a natural way an -module. This induces an action of on its group cohomology for any trivial coefficient domain . In the present note we determine this module, including the question of when the universal coefficient theorem sequence splits.