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arXiv · 0809.4693

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

Mark Sapir·Iva Spakulova
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Abstract

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.

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Mark Sapir, Iva Spakulova. 2009-09-12. Almost all one-relator groups with at least three generators are residually finite. https://arxiv.org/abs/0809.4693

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