On algebraic extensions and decomposition of homomorphisms of free groups

Noam M.D. Kolodner

doi:10.1016/j.jalgebra.2020.10.016

On algebraic extensions and decomposition of homomorphisms of free groups

Noam M.D. Kolodner

School of Mathematical Sciences

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

Abstract

We give a counterexample to a conjecture by Miasnikov, Ventura and Weil, stating that an extension of free groups is algebraic if and only if the corresponding morphism of their core graphs is onto, for every basis of the ambient group. In the course of the proof we present a partition of the set of homomorphisms between free groups which is of independent interest.

Original language	English
Pages (from-to)	595-615
Number of pages	21
Journal	Journal of Algebra
Volume	569
DOIs	https://doi.org/10.1016/j.jalgebra.2020.10.016
State	Published - 1 Mar 2021

Keywords

Automorphisms of free groups
Free groups

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10.1016/j.jalgebra.2020.10.016

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On algebraic extensions and decomposition of homomorphisms of free groups

Abstract

Keywords

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