Almost all one-relator groups with at least three generators are residually finite
نویسندگان
چکیده
منابع مشابه
Almost All One-relator Groups with at Least Three Generators Are Residually Finite
We prove that with probability tending to 1, a 1-relator group with at least 3 generators and the 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.
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It is known that the word problem for one-relator groups and for one-relator monoids of the form Mon〈A ‖ w = 1〉 is decidable. However, the question of decidability of the word problem for general one-relation monoids of the form M = Mon〈A ‖ u = v〉 where u and v are arbitrary (positive) words in A remains open. The present paper is concerned with one-relator inverse monoids with a presentation o...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2011
ISSN: 1435-9855
DOI: 10.4171/jems/255