Almost all one-relator groups with at least three generators are residually finite

作者：Sapir Mark^*; Spakulova Iva

来源：Journal of the European Mathematical Society, 2011, 13(2): 331-343.

DOI：10.4171/JEMS/255

We prove that with probability tending to 1, a one-relator group with at least three generators and the relator of length n is residually finite, is a virtually residually (finite p-)group for all sufficiently large p, and is coherent. The proof uses both combinatorial group theory and non-trivial results about Brownian motions.

• 出版日期2011