Journal article

Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups

Abstract:: We introduce a homology theory for subspace arrangements, and use it to extract a new system of numerical invariants from the Bieri-Neumann-Strebel invariant of a group. We use these to characterize when the set of basis conjugating outer automorphisms (a.k.a. the pure symmetric outer automorphism group) of a right-angled Artin group is itself a right-angled Artin group.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Day, M., & Wad, R. (2018). Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups. Groups, Geometry, and Dynamics, 12(1), 173–206.

MLA Style

Day, M., and R. Wad. “Subspace Arrangements, BNS Invariants, and Pure Symmetric Outer Automorphisms of Right-Angled Artin Groups.” Groups, Geometry, and Dynamics, vol. 12, no. 1, European Mathematical Society, 2018, pp. 173–206.

Chicago Style

Day, M, and R Wad. 2018. “Subspace Arrangements, BNS Invariants, and Pure Symmetric Outer Automorphisms of Right-Angled Artin Groups.” Groups, Geometry, and Dynamics 12 (1): 173–206.
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Files:: Day and Wade, Subspace arrangements, BNS invariants, and pure ...

(Preview, Accepted manuscript, pdf, 352.9KB, Terms of use)

Publisher copy:: 10.4171/GGD/442

Authors

+ Day, M More by this author

Role:: Author

+ Wad, R More by this author

Institution:: University of Oxford
Division:: MPLS Division
Department:: Mathematical Institute
Role:: Author

Publisher:: European Mathematical Society
Journal:: Groups, Geometry, and Dynamics More from this journal
Volume:: 12
Issue:: 1
Pages:: 173–206
Publication date:: 2018-03-22
Acceptance date:: 2016-06-23
DOI:: 10.4171/GGD/442
EISSN:: 1661-7215
ISSN:: 1661-7207

Pubs id:: pubs:743623
UUID:: uuid:2ee5fdf1-11a0-4dfc-8712-4be20360c4c4
Local pid:: pubs:743623
Source identifiers:: 743623
Deposit date:: 2017-11-07

Terms of use

Copyright holder:: EMS Publishing House
Copyright date:: 2018
Notes:: © 2018 EMS Publishing House. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from the European Mathematical Society at: http://dx.doi.org/10.4171/GGD/442

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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