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Nielsen realisation for untwisted automorphisms of right-angled Artin groups

Abstract:
We prove Nielsen realisation for finite subgroups of the groups of untwisted outer automorphisms of RAAGs in the following sense: given any graph $\Gamma$, and any finite group $G\leqslant \mathrm{U}^0(A_\Gamma) \leqslant \mathrm{Out}^0(A_\Gamma)$, we find a non-positively curved cube complex with fundamental group $A_\Gamma$ on which $G$ acts by isometries, realising the action on $A_\Gamma$.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1112/plms.12150

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Hertford College
Role:
Author
ORCID:
0000-0002-5536-9070
Publisher:
Wiley
Journal:
Proceedings of the London Mathematical Society More from this journal
Volume:
117
Issue:
5
Pages:
901-950
Publication date:
2018-06-19
Acceptance date:
2018-06-19
DOI:
EISSN:
1460-244X
ISSN:
0024-6115
Language:
English
Keywords:
Pubs id:
1118442
Local pid:
pubs:1118442
Deposit date:
2020-07-13

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