Group algebras of Kleinian type and groups of units

[摘要] The algebras of Kleinian type are finite-dimensional sernisimple rational algebras A such that the group of units of an order in A is commensurable with a direct product of Kleinian groups. We classify the Schur algebras of Kleinian type and the group algebras of Kleinian type. As an application, we characterize the group rings RG, with R an order in a number field and G a finite group, such that the group of units of RG is virtually a direct product of free-by-free groups. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-15

[关键词] group algebras;Kleinian groups;groups of units