28 citations · 122 across the 14 of their papers we have counts for
15 papers
Calculating the virtual cohomological dimension of the automorphism group of a RAAG
Matthew B. Day, Andrew W. Sale, Richard D. Wade
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 partic…
Relative automorphism groups of right-angled Artin groups
Matthew B. Day, Richard D. Wade
We study the outer automorphism group of a right-angled Artin group with finite defining graph . We construct a subnormal series for such that each consecutive…
Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups
Matthew B. Day, Richard D. Wade
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 the…
A Birman exact sequence for the Torelli subgroup of Aut(F_n)
Matthew B. Day, Andrew Putman
We develop an analogue of the Birman exact sequence for the Torelli subgroup of Aut(F_n). This builds on earlier work of the authors who studied an analogue of the Birman exact seq…
On the second homology group of the Torelli subgroup of Aut(F_n)
Matthew B. Day, Andrew Putman
Let IA_n be the Torelli subgroup of Aut(F_n). We give an explicit finite set of generators for H_2(IA_n) as a GL_n(Z)-module. Corollaries include a version of surjective representa…
Full-featured peak reduction in right-angled Artin groups
Matthew B. Day
We prove a new version of the classical peak-reduction theorem for automorphisms of free groups in the setting of right-angled Artin groups. We use this peak-reduction theorem to p…