Degrees of compression and inertia for free-abelian times free groups

28 Feb 2020 Roy Mallika Ventura Enric

We introduce the concepts of degree of inertia, $\text{di}_G(H)$, and degree of compression, $\text{dc}_G(H)$, of a finitely generated subgroup $H$ of a given group $G$. For the case of direct products of free-abelian and free groups, we compute the degree of compression and give an upper bound for the degree of inertia... (read more)

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