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.
|Journal||Advances in Mathematics|
|Early online date||23 Oct 2019|
|Publication status||Published - 15 Dec 2019|
- Invertible module
- Stable category
- Endotrivial module