On growth of random groups of intermediate growth Academic Article uri icon

abstract

  • 2014 EMS Publishing House. All rights reserved. We study the growth of typical groups from the family of p-groups of intermediate growth constructed by the second author. We find that, in the sense of category, a generic group exhibits oscillating growth with no universal upper bound. At the same time, from a measuretheoretic point of view (i.e., almost surely relative to an appropriately chosen probability measure), the growth function is bounded by en for some < 1.

published proceedings

  • Groups, Geometry, and Dynamics

author list (cited authors)

  • Benli, M., Grigorchuk, R., & Vorobets, Y.

citation count

  • 1

complete list of authors

  • Benli, Mustafa||Grigorchuk, Rostislav||Vorobets, Yaroslav

publication date

  • January 2014