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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


IMPACT FACTOR 2018: 0.470
5-year IMPACT FACTOR: 0.520

CiteScore 2018: 0.53

SCImago Journal Rank (SJR) 2018: 0.566
Source Normalized Impact per Paper (SNIP) 2018: 1.047

Mathematical Citation Quotient (MCQ) 2018: 0.48

Online
ISSN
1435-4446
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Volume 17, Issue 1

Issues

Verbally closed subgroups of free groups

Alexei G. Myasnikov
  • Department of Mathematical Sciences, Schaefer School of Engineering & Science, Stevens Institute of Technology, Castle Point on Hudson, Hoboken, NJ, 07030, USA
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/ Vitaly Roman'kov
  • Institute of Mathematics and Information Technology, Omsk State Dostoevsky University, pr. Mira, 55-A, 644077, Omsk, Russia
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Published Online: 2013-09-17 | DOI: https://doi.org/10.1515/jgt-2013-0034

Abstract.

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

About the article

Received: 2011-10-02

Revised: 2013-07-05

Published Online: 2013-09-17

Published in Print: 2014-01-01


Citation Information: Journal of Group Theory, Volume 17, Issue 1, Pages 29–40, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt-2013-0034.

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