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Defect groups of tensor modules
Journal article   Peer reviewed

Defect groups of tensor modules

Ahmed M. Alghamdi, Ahmed A. Khammash and AA Khammash
Journal of pure and applied algebra, Vol.167(2), pp.165-173
23/02/2002
DOI: https://doi.org/10.1016/S0022-4049(01)00036-6

Abstract

16S50 20C05
We show that the Brauer map for the exterior tensor product of two G-algebras can be expressed as a tensor product of their Brauer maps. As a consequence, we prove that the tensor module of two connected modules for the group algebra is also connected and its defect group is the direct product of their defect groups. We also show that this process is compatible with the association defined by Barker (J. Algebra 168 (1994) 7287) when localizing to subgroups.

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