Rights statement: 12m
Accepted author manuscript, 358 KB, PDF document
Available under license: CC BY-NC-ND: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
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 -