Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups
Group Theory
2020-01-09 v1
Abstract
The 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 deeply exploiting their structure. 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 the algebraic entropy for locally finite groups that are either quasihamiltonian or FC-groups.
Keywords
Cite
@article{arxiv.2001.02419,
title = {Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups},
author = {Anna Giordano Bruno and Flavio Salizzoni},
journal= {arXiv preprint arXiv:2001.02419},
year = {2020}
}