%0 Journal Article
%T Almost all one-relator groups with at least three generators are residually finite
%A Mark Sapir
%A Iva Spakulova
%J Mathematics
%D 2008
%I arXiv
%X We prove that with probability tending to 1, a 1-relator group with at least 3 generators and relator of length n is residually finite, virtually residually (finite p)-group for all sufficiently large p, and coherent. The proof uses both combinatorial group theory and non-trivial results about Brownian motions, bridges and excursions in R^k.
%U http://arxiv.org/abs/0809.4693v2