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Your search keyword '"Serbin, Denis"' showing total 3 results
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3 results on '"Serbin, Denis"'

1. Pregroups and hyperbolicity

Author

Li, Jiayue and Serbin, Denis

Subjects
Mathematics - Group Theory, 20F65 (Primary) 20F67, 20E06 (Secondary)
Abstract

In this paper we study hyperbolicty of the universal group $U(P)$ of a pregroup $P$. Given a finitely generated group $G$ and a pregroup $P$ such that $G \simeq U(P)$, we provide a particular set of axioms on $P$ which ensure that $G$ is word-hyperbolic., Comment: 22 pages, 16 figures

Published
2022

3. Detecting conjugacy stability of subgroups in certain classes of groups.

Author

Fernández Martínez, Isabel and Serbin, Denis

Subjects
*FREE groups, *HYPERBOLIC groups, *PROBLEM solving
Abstract

In this paper, we consider the conjugacy stability property of subgroups and provide effective procedures to solve the problem in several classes of groups. In particular, we start with free groups, that is, we give an effective procedure to find out if a finitely generated subgroup of a free group is conjugacy stable. Then we further generalize this result to quasi-convex subgroups of torsion-free hyperbolic groups and finitely generated subgroups of limit groups. [ABSTRACT FROM AUTHOR]

Published
2021
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