Strings of group endomorphisms

Details Strings of group endomorphisms Strings of group endomorphisms

2010-06-27

arxiv.org/abs/1006.5205v3

Mathematics

Group Theory

17 pages

Scientific paper

10.1142/S0219498810004312

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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