The stable category and invertible modules for infinite groups

Nadia Mazza; Peter Symonds

doi:10.1016/j.aim.2019.106853

The stable category and invertible modules for infinite groups

Nadia Mazza, Peter Symonds

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

53 Downloads (Pure)

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.

Original language	English
Pages (from-to)	106853
Journal	Advances in Mathematics
Volume	358
Early online date	23 Oct 2019
DOIs	https://doi.org/10.1016/j.aim.2019.106853
Publication status	Published - 15 Dec 2019

Keywords

Invertible module
Stable category
Endotrivial module

Access to Document

10.1016/j.aim.2019.106853

ms_rev2Accepted author manuscript, 380 KBLicence: CC BY-NC-ND

https://linkinghub.elsevier.com/retrieve/pii/S0001870819304694

Cite this

@article{44a1ea3c7106417e8269a3918620d0e0,

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 = "Invertible module, Stable category, Endotrivial module",

author = "Nadia Mazza and Peter Symonds",

year = "2019",

month = dec,

day = "15",

doi = "10.1016/j.aim.2019.106853",

language = "English",

volume = "358",

pages = "106853",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Elsevier BV",

}

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 - Invertible module

KW - Stable category

KW - Endotrivial module

U2 - 10.1016/j.aim.2019.106853

DO - 10.1016/j.aim.2019.106853

M3 - Article

SN - 0001-8708

VL - 358

SP - 106853

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

The stable category and invertible modules for infinite groups

Abstract

Keywords

Access to Document

Fingerprint

Cite this