Algebraic entropy on topologically quasihamiltonian groups

W. Xi, M. Shlossberg, D. Toller

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 every group endomorphism of a quasihamiltonian torsion FC-group (e.g., a Hamiltonian group).

Original languageEnglish
Article number107093
JournalTopology and its Applications
Volume272
DOIs
StatePublished - 1 Mar 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020

Keywords

  • (Topologically) quasihamiltonian group
  • Addition Theorem
  • Algebraic entropy
  • Compactly covered group
  • Hamiltonian group

Fingerprint

Dive into the research topics of 'Algebraic entropy on topologically quasihamiltonian groups'. Together they form a unique fingerprint.

Cite this