B. Jacobson

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math.GR2019

A mixed identity-free elementary amenable group

Bryan Jacobson

A group $G$ is called mixed identity-free if for every $n \in N$ and every $w \in G * F_{n}$ there exists a homomorphism $φ : G * F_{n} \to G$ such that $φ$ is th…

math.GR2015

Algebraic subgroups of acylindrically hyperbolic groups

Bryan Jacobson

A subgroup of a group $G$ is called algebraic if it can be expressed as a finite union of solution sets to systems of equations. We prove that a non-elementary subgroup $H$ of an a…