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JSJ DECOMPOSITIONS OF DOUBLES OF FREE GROUPS

Published online by Cambridge University Press:  02 May 2019

SIMON HEIL*
Affiliation:
Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar, Kiel, 24098, Germany e-mail: [email protected]
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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.

Type
Research Article
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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