GROUPS GEOMETRY AND DYNAMICS, vol.8, no.3, pp.643-667, 2014 (SCI-Expanded)
Article / Article
GROUPS GEOMETRY AND DYNAMICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Group of intermediate growth, space of finitely generated groups, generic property, random group, oscillating growth, TORSION, SPACE
Middle East Technical University Affiliated:
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 measure-theoretic point of view (i.e., almost surely relative to an appropriately chosen probability measure), the growth function is bounded by e(n alpha) for some alpha < 1.