The McCullough-Miller complex for right angled Artin groups
Group Theory
2025-06-11 v2
Abstract
McCullough and Miller constructed a contractible complex on which the pure symmetric automorphism group of a free group acts with free abelian stabilizers. This complex has been used for computations such as the cohomological dimension of these groups, their cohomology rings, and results about -Betti numbers or BNRS-invariants. We generalize this construction to pure symmetric automorphism groups of arbitrary RAAGs and exhibit applications of this generalization.
Cite
@article{arxiv.2506.03377,
title = {The McCullough-Miller complex for right angled Artin groups},
author = {Peio Ardaiz Galé and Conchita Martínez Pérez},
journal= {arXiv preprint arXiv:2506.03377},
year = {2025}
}
Comments
34 pages, 7 figures