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Calculating the virtual cohomological dimension of the automorphism group of a RAAG

Abstract:
We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right‐angled Artin group. The algorithm works in the relative setting; in particular, it also applies to untwisted automorphism groups and basis‐conjugating automorphism groups. The main new tool is the construction of free abelian subgroups of certain Fouxe–Rabinovitch groups of rank equal to their virtual cohomological dimension, generalizing a result of Meucci in the setting of free groups.
Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-9274-3474
Publisher:
Wiley
Journal:
Bulletin of the London Mathematical Society More from this journal
Volume:
53
Issue:
1
Pages:
259-273
Publication date:
2020-10-13
Acceptance date:
2020-09-29
DOI:
EISSN:
1469-2120
ISSN:
0024-6093
Language:
English
Keywords:
Pubs id:
1054414
Local pid:
pubs:1054414
Deposit date:
2020-10-14

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