Computation of endo-fixed closures in free-abelian times free groups
Group Theory
2023-07-28 v1
Abstract
In this paper, we explore the behaviour of the fixed subgroups of endomorphisms of free-abelian times free (FATF) groups. We exhibit an algorithm which, given a finitely generated subgroup of a FATF group , decides whether is the fixed subgroup of some (finite) family of endomorphisms of and, in the affirmative case, it finds such a family. The algorithm combines both combinatorial and algebraic methods.
Keywords
Cite
@article{arxiv.2307.14443,
title = {Computation of endo-fixed closures in free-abelian times free groups},
author = {Mallika Roy and Enric Ventura},
journal= {arXiv preprint arXiv:2307.14443},
year = {2023}
}