The Stable Category and Invertible Modules for Infinite Groups

Mazza, Nadia and Symonds, Peter (2019) The Stable Category and Invertible Modules for Infinite Groups. Advances in Mathematics, 358. pp. 1-26. ISSN 0001-8708

[img]
Text (ms_rev2)
ms_rev2.pdf - Accepted Version
Restricted to Repository staff only until 15 December 2020.
Available under License Creative Commons Attribution-NonCommercial-NoDerivs.

Download (366kB)

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.

Item Type:
Journal Article
Journal or Publication Title:
Advances in Mathematics
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/q
Subjects:
ID Code:
137750
Deposited By:
Deposited On:
11 Oct 2019 09:25
Refereed?:
Yes
Published?:
Published
Last Modified:
03 Jul 2020 10:30