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.
Published
2015-03-04
How to Cite
Tomaszewski, W. (2015). Self-Similar Automorphisms of a Free Group of Countable Rank. MATHEMATICA SCANDINAVICA, 116(1), 126-140. https://doi.org/10.7146/math.scand.a-20454
Section
Articles