Corey Bregman

collaborators

3 papers

math.GT2017

Isometry groups of CAT(0) cube complexes

Corey Bregman

Given a CAT(0) cube complex X, we show that if Aut(X) $\neq =$ Isom(X) then there exists a full subcomplex of X which decomposes as a product with $R^{n}$ . As applications, we…

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…