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Outer actions of Out (Fn) on small right-angled Artin groups

Abstract:

We determine the precise conditions under which SOut(Fn), the unique index-two subgroup of Out(Fn), can act nontrivially via outer automorphisms on a RAAG whose defining graph has fewer than 12(n2) vertices. We also show that the outer automorphism group of a RAAG cannot act faithfully via outer automorphisms on a RAAG with a strictly smaller (in number of vertices) defining graph. Along the way we determine the minimal dimensions of nontrivial linear representations of congruence quotients...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.2140/agt.2018.18.1041

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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:
Mathematical Sciences Publishers
Journal:
Algebraic & Geometric Topology More from this journal
Volume:
18
Issue:
2
Pages:
1041-1065
Publication date:
2018-03-12
Acceptance date:
2017-11-21
DOI:
EISSN:
1472-2739
ISSN:
1472-2747
Language:
English
Keywords:
Pubs id:
1118441
Local pid:
pubs:1118441
Deposit date:
2020-07-13

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