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The Stable Category and Invertible Modules for Infinite Groups

Research output: Contribution to Journal/Magazine › Journal article › peer-review

E-pub ahead of print
<mark>Journal publication date</mark>15/12/2019
<mark>Journal</mark>Advances in Mathematics
Volume358
Number of pages26
Pages (from-to)1-26
Publication StatusE-pub ahead of print
Early online date15/12/19
<mark>Original language</mark>English

Abstract

We construct a well-behaved stable category of modules for a large class of infinite groups. We then consider its Picard group, which is the group of invertible (or endotrivial) modules. We show how this group can be calculated when the group acts on a tree with finite stabilisers.

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