Growth exponent of generic groups

Details Growth exponent of generic groups Growth exponent of generic groups

2004-01-06

arxiv.org/abs/math/0401050v2

Mathematics

Group Theory

2nd version (full redaction): 24 pages

Scientific paper

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.

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