Autor:	Louder, Larsen, McReynolds, D. B., Patel, Priyam
Rok vydání:	2015
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology
Zdroj:	Selecta Math 23 (2017), 2019-2027
Druh dokumentu:	Working Paper
Popis:	The main result of this article is a refinement of the well-known subgroup separability results of Hall and Scott for free and surface groups. We show that for any finitely generated subgroup, there is a finite dimensional representation of the free or surface group that separates the subgroup in the induced Zariski topology. As a corollary, we establish a polynomial upper bound on the size of the quotients used to separate a finitely generated subgroup in a free or surface group. Comment: Final version. To appear in Selecta Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1510.04144 Zobrazit plný text záznamu View this record from Arxiv