Canonicality of makanin–razborov diagrams – Counterexample

Gili Berk

doi:10.5802/AIF.3368

Canonicality of makanin–razborov diagrams – Counterexample

Gili Berk^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

Abstract

Sets of solutions to systems of equations with finitely many variables in a free group, are equivalent to sets of homomorphisms from a fixed finitely generated group into a free group. The latter can be encoded in a diagram, which is known to be canonical for a fixed finitely generated group with a fixed generating set. In this paper we prove that the construction depends on the chosen generating set of the given finitely generated group.

Original language	English
Pages (from-to)	2027-2047
Number of pages	21
Journal	Annales de l'Institut Fourier
Volume	70
Issue number	5
DOIs	https://doi.org/10.5802/AIF.3368
State	Published - 2020

Bibliographical note

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© 2020 Association des Annales de l'Institut Fourier. All rights reserved.

Keywords

Generating set
Ivanov word
JSJ decomposition
Limit group
Makanin–Razborov diagram
Model theory of groups
Modular automorphism

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10.5802/AIF.3368

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KW - Limit group

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KW - Model theory of groups

KW - Modular automorphism

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Canonicality of makanin–razborov diagrams – Counterexample

Abstract

Bibliographical note

Keywords

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