28 citations · 122 across the 14 of their papers we have counts for
9 papers · 1 filter
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…
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…
Finiteness of outer automorphism groups of random right-angled Artin groups
Matthew B. Day
We consider the outer automorphism group Out(A_Gamma) of the right-angled Artin group A_Gamma of a random graph Gamma on n vertices in the Erdos--Renyi model. We show that the func…
The complex of partial bases for F_n and finite generation of the Torelli subgroup of Aut(F_n)
Matthew B. Day, Andrew Putman
We study the complex of partial bases of a free group, which is an analogue for $\Aut(F_n)$ of the curve complex for the mapping class group. We prove that it is connected and simp…