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Applications of the Alexander Ideals to the Isomorphism Problem for Families of Groups

Part of: Low-dimensional topology

Published online by Cambridge University Press:  19 May 2016

Do Viet Hung  and
Vu The Khoi
Do Viet Hung
Affiliation:
Ha Giang College of Education, Ha Giang, Vietnam (viethunghg81@gmail.com)
Vu The Khoi*
Affiliation:
Institute of Mathematics (VAST), 18 Hoang Quoc Viet, 10307, Hanoi, Vietnam (vtkhoi@math.ac.vn)
*
*Corresponding author.
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Abstract

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In this paper we use the Alexander ideals of groups to solve the isomorphism problem for the Baumslag–Solitar groups and a family of parafree groups introduced by Baumslag and Cleary.

Keywords

group isomorphism problemAlexander idealparafree groups

MSC classification

Secondary: 57M05: Fundamental group, presentations, free differential calculus
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 1 , February 2017 , pp. 177 - 185
Copyright
Copyright © Edinburgh Mathematical Society 2016