Some metric properties of automorphisms of groups

  title={Some metric properties of automorphisms of groups},
  author={Alexei G. Myasnikov and Vladimir Shpilrain},
Study of the dynamics of automorphisms of a group is usually focused on their growth and/or finite orbits, including fixed points. In this paper, we introduce properties of a different kind; using somewhat informal language, we call them metric properties. Two principal characteristics of this kind are called here the “curl” and the “flux”; there seems to be very little correlation between these and the growth of an automorphism, which means they are likely to be an essentially new tool for… CONTINUE READING

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