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Defect groups of tensor modules

✍ Scribed by Ahmed M. Alghamdi; Ahmed A. Khammash

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
119 KB
Volume
167
Category
Article
ISSN
0022-4049

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✦ Synopsis

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 deΓΏned by Barker (J.

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