On growth of random groups of intermediate growth Academic Article

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.

authors

• Grigorchuk, Rostislav
• Vorobets, Yaroslav

published proceedings

• GROUPS GEOMETRY AND DYNAMICS

author list (cited authors)

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

citation count

• 2

complete list of authors

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

publication date

• October 2014

publisher

• European Mathematical Society - EMS - Publishing House GmbH  Publisher

published in

• Groups, Geometry, and Dynamics  Journal

keywords

• Generic Property
• Group Of Intermediate Growth
• Oscillating Growth
• Random Group
• Space Of Finitely Generated Groups

Digital Object Identifier (DOI)

• 10.4171/GGD/243

start page

• 643

end page

• 667

volume

• 8

issue

• 3

URL

• http://dx.doi.org/10.4171/ggd/243