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arXiv · 1006.5205

Strings of group endomorphisms

Dikran Dikranjan·Anna Giordano Bruno·Simone Virili
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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.

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Dikran Dikranjan, Anna Giordano Bruno, Simone Virili. 2010-12-16. Strings of group endomorphisms. https://doi.org/10.1142/s0219498810004312

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