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

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Official URL: https://doi.org/10.1016/j.aim.2019.106853

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:

?? ALGEBRASTABLE CATEGORIESREPRESENTATION THEORYINVERTIBLE MODULESMATHEMATICS AND STATISTICSMATHEMATICS(ALL)Q SCIENCE ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

137750

Deposited By:

ep_importer_pure

Deposited On:

11 Oct 2019 09:25

Refereed?:

Yes

Published?:

Published

Last Modified:

19 Oct 2023 10:25

URI:

https://eprints.lancs.ac.uk/id/eprint/137750