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

Laura Ciobanu; Benjamin Fine; Gerhard Rosenberger

doi:10.1515/JGT.2010.051

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

Laura Ciobanu, Benjamin Fine, Gerhard Rosenberger

Fairfield University

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

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.

Original language	American English
Journal	Journal of Group Theory
Volume	14
DOIs	https://doi.org/10.1515/JGT.2010.051
State	Published - May 1 2011

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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10.1515/JGT.2010.051License: CC BY

On Lyndons Equation in Some Lambda-Free Groups and HNN ExtensionFinal published version, 797 KBLicense: CC BY

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title = "On Lyndon's Equation in Some Lambda-Free Groups and HNN Extensions",

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.",

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AU - Fine, Benjamin

AU - Rosenberger, Gerhard

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AB - 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.

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M3 - Article

VL - 14

JO - Journal of Group Theory

JF - Journal of Group Theory

ER -

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

Abstract

Disciplines

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