Algebraic entropy on topologically quasihamiltonian groups
Dynamical Systems
2019-05-08 v1 General Topology
Group Theory
Abstract
We study the algebraic entropy of continuous endomorphisms of compactly covered, locally compact, topologically quasihamiltonian groups. We provide a Limit-free formula which helps us to simplify the computations of this entropy. Moreover, several Addition Theorems are given. In particular, we prove that the Addition Theorem holds for endomorphisms of quasihamiltonian torsion FC-groups (e.g., Hamiltonian groups).
Cite
@article{arxiv.1905.02574,
title = {Algebraic entropy on topologically quasihamiltonian groups},
author = {Wenfei Xi and Menachem Shlossberg and Daniele Toller},
journal= {arXiv preprint arXiv:1905.02574},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1805.09608