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

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 نشر من قبل Mark Sapir
 تاريخ النشر 2009
  مجال البحث
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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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