Article ID Journal Published Year Pages File Type
4587761 Journal of Algebra 2008 25 Pages PDF
Abstract

We establish a duality for near-isomorphism categories of almost completely decomposable groups through a combination of Butler duality and Warfield duality. We are then able to dualize results in the literature to obtain classifications and structure theories for new classes of almost completely decomposable groups. For example, known results on p-local crq-groups, those groups X that contain a completely decomposable subgroup B with X/B a cyclic p-group, can be dualized to results on p-local co-crq groups, those groups Y that embed in a completely decomposable group B so that the quotient B/Y is a cyclic p-group. A variety of other applications is given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory