3 papers
math.GR2022
A representation of by counting subwords of cyclic words
Noam M. D. Kolodner
We generalize the combinatorial approaches of Rapaport and Higgins--Lyndon to the Whitehead algorithm. We show that for every automorphism of a free group and every word $u…
math.GR2020
Classes of free group extensions
Noam M. D. Kolodner
In this paper we identify different classes of free group extension using core graphs. We show that every free group extension has a base such that the associat…
math.GR2019
On algebraic extensions and decomposition of homomorphisms in free groups
Noam Kolodner
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 co…