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The Stable Category and Invertible Modules for Infinite Groups

Research output: Contribution to journalJournal article

E-pub ahead of print
<mark>Journal publication date</mark>15/12/2019
<mark>Journal</mark>Advances in Mathematics
Publication statusE-pub ahead of print
Early online date15/12/19
Original languageEnglish

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.