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The Stable Category and Invertible Modules for Infinite Groups

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The Stable Category and Invertible Modules for Infinite Groups. / Mazza, Nadia; Symonds, Peter.

In: Advances in Mathematics, Vol. 358, 15.12.2019, p. 1-26.

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Mazza, Nadia ; Symonds, Peter. / The Stable Category and Invertible Modules for Infinite Groups. In: Advances in Mathematics. 2019 ; Vol. 358. pp. 1-26.

Bibtex

@article{b1caf0c05d4a4e6983fbeb9bc115b73b,
title = "The Stable Category and Invertible Modules for Infinite Groups",
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.",
keywords = "algebra, stable categories, representation theory, invertible modules",
author = "Nadia Mazza and Peter Symonds",
year = "2019",
month = dec,
day = "15",
doi = "https://doi.org/10.1016/j.aim.2019.106853",
language = "English",
volume = "358",
pages = "1--26",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - The Stable Category and Invertible Modules for Infinite Groups

AU - Mazza, Nadia

AU - Symonds, Peter

PY - 2019/12/15

Y1 - 2019/12/15

N2 - 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.

AB - 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.

KW - algebra

KW - stable categories

KW - representation theory

KW - invertible modules

U2 - https://doi.org/10.1016/j.aim.2019.106853

DO - https://doi.org/10.1016/j.aim.2019.106853

M3 - Journal article

VL - 358

SP - 1

EP - 26

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -