The Addition theorem for two-step nilpotent torsion groups
Group Theory
2022-09-13 v2 Dynamical Systems
Abstract
The Addition Theorem for the algebraic entropy of group endomorphisms of torsion abelian groups was proved in [4]. Later, this result was extended to all abelian groups [3] and, recently, to all torsion finitely quasihamiltonian groups [7]. In contrast, when it comes to metabelian groups, the additivity of the algebraic entropy fails [8]. Continuing the research within the class of locally finite groups, we prove that the Addition Theorem holds for two-step nilpotent torsion groups.
Cite
@article{arxiv.2201.12860,
title = {The Addition theorem for two-step nilpotent torsion groups},
author = {Menachem Shlossberg},
journal= {arXiv preprint arXiv:2201.12860},
year = {2022}
}