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JSJ DECOMPOSITIONS OF DOUBLES OF FREE GROUPS

Part of: Structure and classification of infinite or finite groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  02 May 2019

SIMON HEIL
SIMON HEIL*
Affiliation:
Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar, Kiel, 24098, Germany e-mail: heil@math.uni-kiel.de
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Abstract

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We classify all possible JSJ decompositions of doubles of free groups of rank two, and we also compute the Makanin–Razborov diagram of a particular double of a free group and deduce that in general limit groups are not freely subgroup separable.

MSC classification

Primary: 20F65: Geometric group theory
Secondary: 20E05: Free nonabelian groups 20E08: Groups acting on trees
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Issue 2 , May 2020 , pp. 367 - 382
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
Copyright © Glasgow Mathematical Journal Trust 2019

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