On Lyndon's Equation in Some Lambda-Free Groups and HNN Extensions

Authors

Laura Ciobanu
Benjamin Fine, Fairfield UniversityFollow
Gerhard Rosenberger

Document Type

Article

Article Version

Publisher's PDF

Publication Date

5-2011

Abstract

In this paper we study Lyndon's equation x(p)y(q)z(r) = 1, with x, y, z group elements and p, q, r positive integers, in HNN extensions of free and fully residually free groups, and draw some conclusions about its behavior in A-free groups.

Comments

Copyright (2011) by Walter DeGruyter & Co.

Original published version can be found at DOI: 10.1515/JGT.2010.051

Publication Title

Journal of Group Theory

Repository Citation

Ciobanu, Laura; Fine, Benjamin; and Rosenberger, Gerhard, "On Lyndon's Equation in Some Lambda-Free Groups and HNN Extensions" (2011). Mathematics Faculty Publications. 13.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/13

Published Citation

Ciobanu, L., Fine, B., Rosenberger, G. On Lyndon's Equation in Some Lambda-Free Groups and HNN Extensions, Journal of Group Theory, Vol. 14, No. 3 (May 2011) p. 333-339.

DOI

10.1515/JGT.2010.051

Peer Reviewed