Abelian groups of zero adjoint entropy

• Autorzy: L. Salce , P. Zanardo
• Języki publikacji: EN

Abstrakty

EN

The notion of adjoint entropy for endomorphisms of an Abelian group is somehow dual to that of algebraic entropy. The Abelian groups of zero adjoint entropy, i.e. ones whose endomorphisms all have zero adjoint entropy, are investigated. Torsion groups and cotorsion groups satisfying this condition are characterized. It is shown that many classes of torsionfree groups contain groups of either zero or infinite adjoint entropy. In particular, no characterization of torsionfree groups of zero adjoint entropy is possible. It is also proved that the mixed groups of a wide class all have infinite adjoint entropy.

Kategorie tematyczne

• 20K30: Automorphisms, homomorphisms, endomorphisms, etc.
• 28D20: Entropy and other invariants

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 121
• Numer: 1
• Strony: 45-62

Daty

wydano

2010

Twórcy

autor

L. Salce

• Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, 35121 Padova, Italy

autor

P. Zanardo

• Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, 35121 Padova, Italy

Identyfikatory

DOI

10.4064/cm121-1-5