Strings of group endomorphisms
Group Theory
2010-12-23 v3
Abstract
Recently the strings and the string number of self-maps were used in the computation of the algebraic entropy of special group endomorphisms. We introduce two special kinds of strings, and their relative string numbers. We show that a dichotomy holds for all these three string numbers; in fact, they admit only zero and infinity as values on group endomorphisms.
Keywords
Cite
@article{arxiv.1006.5205,
title = {Strings of group endomorphisms},
author = {Dikran Dikranjan and Anna Giordano Bruno and Simone Virili},
journal= {arXiv preprint arXiv:1006.5205},
year = {2010}
}
Comments
17 pages