Affiliation:
1. Dipartimento di Scienze Matematiche, Informatiche e Fisiche , Università degli Studi di Udine , Via delle Scienze 206, 33100 Udine , Italy
Abstract
Abstract
Additivity with respect to exact sequences is, notoriously, a fundamental property of the algebraic entropy of group endomorphisms.
It was proved for abelian groups by using the structure theorems for such groups in an essential way.
On the other hand, a solvable counterexample was recently found, showing that it does not hold in general.
Nevertheless, we give a rather short proof of the additivity of algebraic entropy for locally finite groups that are either quasihamiltonian or FC-groups.
Subject
Algebra and Number Theory
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