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Self-Similar Automorphisms of a Free Group of Countable Rank

Witold Tomaszewski

Abstract


We investigate self-similar automorphisms of a free group $F$ of infinite countable rank, that is automorphisms for which their actions on $F$ and $F^{\prime}$ are similar. We show properties, examples and counterexamples of self-similar automorphisms and study the subgroup generated by self-similar automorphisms.

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DOI: http://dx.doi.org/10.7146/math.scand.a-20454

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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