The stable category and invertible modules for infinite groups
Group Theory
2019-12-17 v2 Representation Theory
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.
Cite
@article{arxiv.1902.06533,
title = {The stable category and invertible modules for infinite groups},
author = {Nadia Mazza and Peter Symonds},
journal= {arXiv preprint arXiv:1902.06533},
year = {2019}
}