Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups (Q1747811)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups |
scientific article |
Statements
Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups (English)
0 references
27 April 2018
0 references
Summary: 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.
0 references
right-angled Artin groups
0 references
partially commutative groups
0 references
outer automorphism groups
0 references
BNS invariants
0 references
Bieri-Neumann-Strebel invariants
0 references
subspace arrangements
0 references
homology theory
0 references
