Geodesic
Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups
Matthew B. Day1 ; Richard D. Wade2 orcid
1University of Arkansas, Fayetteville, USA
2University of Oxford, UK
Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 173-206

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DOI

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.
DOI : 10.4171/ggd/442
Classification : 20-XX, 14-XX
Mots-clés : Right-angled Artin groups, partially commutative groups, outer automorphism groups, BNS invariants, Bieri–Neumann–Strebel invariants, subspace arrangements, homology theory

Matthew B. Day  1   ; Richard D. Wade  2

1 University of Arkansas, Fayetteville, USA
2 University of Oxford, UK 
Matthew B. Day; Richard D. Wade. Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups. Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 173-206. doi: 10.4171/ggd/442
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     pages = {173--206},
     year = {2018},
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