Growth exponent of generic groups
Ollivier, Yann
Original · EN
Grigorchuk and de la Harpe asked if there are many groups with growth exponent close to that of the free group with the same number of generators. We prove that this is in fact the case for a generic group (in the density model of random groups). More generally, we prove that the growth exponent does not change much through a random quotient of a torsion-free hyperbolic group.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.