ON SEPARABILITY PROPERTIES OF GROUPS

Author:

GITIK RITA1,RIPS ELIYAHU1

Affiliation:

1. Institute of Mathematics, Hebrew University, Jerusalem, Israel

Abstract

It is shown that if a double F*H F of a free group F along a finitely generated malnormal subgroup H has f.g.i.p., then it is LERF. We also introduce a notion of double coset separability and show that a free group is double coset separable.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 19 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On double coset separability and the Wilson–Zalesskii property;Bulletin of the London Mathematical Society;2023-01-04

2. Weak Separation Problem for Tree Languages;International Journal of Foundations of Computer Science;2020-08

3. The pseudovariety of all nilpotent groups is tame;International Journal of Algebra and Computation;2019-08-26

4. Every decidable pseudovariety of abelian groups is completely tame;Semigroup Forum;2019-05-06

5. Conjugacy Separability in Amalgamated Products;Profinite Graphs and Groups;2017

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