Algebraic entropy on topologically quasihamiltonian groups

W. Xi, M. Shlossberg, D. Toller

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4 Scopus citations


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
StatePublished - 1 Mar 2020
Externally publishedYes

Bibliographical note

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


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