On free decompositions of verbally closed subgroups in free products of finite groups-Reference-Cited by-同舟云学术

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On free decompositions of verbally closed subgroups in free products of finite groups

Published:2017-01-01 Issue:5 Volume:20 Page:
ISSN:1433-5883
Container-title:Journal of Group Theory
language:
Short-container-title:

Author:

Mazhuga Andrey M.

Abstract

AbstractFor a subgroup of a free product of finite groups, we obtain necessary conditions (on its Kurosh decomposition) for it to be verbally closed.

Funder

Russian Foundation for Basic Research

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

http://www.degruyter.com/view/j/jgth.2017.20.issue-5/jgth-2016-0058/jgth-2016-0058.pdf

Reference32 articles.

1. On algebraically closed groups;Ann. of Math. (2),1972

2. On certain elements of free groups;Comm. Algebra,1998

3. On certain C-test words for free groups;J. Algebra,2002

Cited by 9 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. The centre of a finitely generated strongly verbally closed group is almost always pure;The Quarterly Journal of Mathematics;2024-07-31

2. Equations in acylindrically hyperbolic groups and verbal closedness;Groups, Geometry, and Dynamics;2022-07-01

3. Finite and nilpotent strongly verbally closed groups;Journal of Algebra and Its Applications;2022-06-23

4. The Klein bottle group is not strongly verbally closed, though awfully close to being so;Canadian Mathematical Bulletin;2020-08-03

5. Verbally Closed Subgroups of Free Solvable Groups;Algebra and Logic;2020-07

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