On p-Monomial Modules Over Local Domains

Authors: Robert Boltje (University of California Santa Cruz), Adam Glesser (University of California Santa Cruz)

Abstract: We consider direct summands of monomial modules for group algebras over local rings of positive residue characteristic p. 
If the base ring is a local domain that contains a root of unity of sufficiently large order, the Krull-Schmidt theorem holds for 
these modules and their representation rings over two such base rings are canonically isomorphic.

Current Status: Accepted for publication by the Journal of Group Theory.