Verbally closed subgroups of free groups

Alexei G. Myasnikov; Vitaly Roman'Kov

doi:10.1515/jgt-2013-0034

Verbally closed subgroups of free groups

Alexei G. Myasnikov, Vitaly Roman'Kov

Department of Mathematical Sciences

Omsk State University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We prove that every verbally closed subgroup of a free group F of a finite rank is a retract of F.

Original language	English
Pages (from-to)	29-40
Number of pages	12
Journal	Journal of Group Theory
Volume	17
Issue number	1
DOIs	https://doi.org/10.1515/jgt-2013-0034
State	Published - Jan 2014

Access to Document

10.1515/jgt-2013-0034

Cite this

@article{0326e450fae54a3bbec6a8c953b858df,

title = "Verbally closed subgroups of free groups",

abstract = "We prove that every verbally closed subgroup of a free group F of a finite rank is a retract of F.",

author = "Myasnikov, \{Alexei G.\} and Vitaly Roman'Kov",

year = "2014",

month = jan,

doi = "10.1515/jgt-2013-0034",

language = "English",

volume = "17",

pages = "29--40",

number = "1",

}

TY - JOUR

T1 - Verbally closed subgroups of free groups

AU - Myasnikov, Alexei G.

AU - Roman'Kov, Vitaly

PY - 2014/1

Y1 - 2014/1

N2 - We prove that every verbally closed subgroup of a free group F of a finite rank is a retract of F.

AB - We prove that every verbally closed subgroup of a free group F of a finite rank is a retract of F.

UR - https://www.scopus.com/pages/publications/84896386123

UR - https://www.scopus.com/inward/citedby.url?scp=84896386123&partnerID=8YFLogxK

U2 - 10.1515/jgt-2013-0034

DO - 10.1515/jgt-2013-0034

M3 - Article

AN - SCOPUS:84896386123

SN - 1433-5883

VL - 17

SP - 29

EP - 40

JO - Journal of Group Theory

JF - Journal of Group Theory

IS - 1

ER -

Verbally closed subgroups of free groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this