Corey Bregman

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20152022

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math.GR2020

Minimal volume entropy of free-by-cyclic groups and 2-dimensional right-angled Artin groups

Corey Bregman, Matt Clay

Let $G$ be a free-by-cyclic group or a 2-dimensional right-angled Artin group. We provide an algebraic and a geometric characterization for when each aspherical simplicial complex…

math.GR2018

Dilatation of outer automorphisms of Right-angled Artin Groups

Corey Bregman, Yulan Qing

We study the dilatation of outer automorphisms of right-angled Artin groups. Given a right-angled Artin group defined on a simplicial graph: $A (Γ) = ⟨ V ∣ E ⟩$ and an a…

math.GR2015

Infinite groups acting faithfully on the outer automorphism group of a right-angled Artin group

Corey Bregman, Neil J. Fullarton

We construct the first known examples of infinite subgroups of the outer automorphism group of Out(A_Gamma), for certain right-angled Artin groups A_Gamma. This is achieved by intr…

math.GR2015

Rational Growth and Almost Convexity of Higher-Dimensional Torus Bundles

Corey Bregman

Given a matrix $A \in S L (N, Z)$ , form the semidirect product $G = Z^{N} ⋊_{A} Z$ where the $Z$ factor acts on $Z^{N}$ by $A$ . Such a $G$ arises naturally as the fundamental group o…