Strings of group endomorphisms

Dikran Dikranjan, Anna Giordano Bruno, Simone Virili

    Research output: Contribution to journalArticleResearchpeer-review

    4 Citations (Scopus)

    Abstract

    Recently the strings and the string number of self-maps were used in the computation of the algebraic entropy of specific abelian 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 abelian group endomorphisms. © 2010 World Scientific Publishing Company.
    Original languageEnglish
    Pages (from-to)933-958
    JournalJournal of Algebra and Its Applications
    Volume9
    Issue number6
    DOIs
    Publication statusPublished - 1 Dec 2010

    Keywords

    • Algebraic entropy
    • Bernoulli shift
    • Generalized shift
    • Quasi-periodic point
    • String
    • String number

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