Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups
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 g...
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| Format: | Journal article |
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European Mathematical Society
2018
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| _version_ | 1826265479062224896 |
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| author | Day, M Wad, R |
| author_facet | Day, M Wad, R |
| author_sort | Day, M |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T20:24:20Z |
| format | Journal article |
| id | oxford-uuid:2ee5fdf1-11a0-4dfc-8712-4be20360c4c4 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:24:20Z |
| publishDate | 2018 |
| publisher | European Mathematical Society |
| record_format | dspace |
| spelling | oxford-uuid:2ee5fdf1-11a0-4dfc-8712-4be20360c4c42022-03-26T12:51:49ZSubspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2ee5fdf1-11a0-4dfc-8712-4be20360c4c4Symplectic Elements at OxfordEuropean Mathematical Society2018Day, MWad, RWe 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. |
| spellingShingle | Day, M Wad, R Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups |
| title | Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups |
| title_full | Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups |
| title_fullStr | Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups |
| title_full_unstemmed | Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups |
| title_short | Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups |
| title_sort | subspace arrangements bns invariants and pure symmetric outer automorphisms of right angled artin groups |
| work_keys_str_mv | AT daym subspacearrangementsbnsinvariantsandpuresymmetricouterautomorphismsofrightangledartingroups AT wadr subspacearrangementsbnsinvariantsandpuresymmetricouterautomorphismsofrightangledartingroups |