Geodesic
Almost all one-relator groups with at least three generators are residually finite
Journal of the European Mathematical Society, Tome 13 (2011) no. 2, pp. 331-343.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/255
Classification : 20-XX, 00-XX
Keywords: One-relator group, residually finite, coherent, Brownian motion 
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     author = {Mark V. Sapir and Iva \v{S}pakulov\'a},
     title = {Almost all one-relator groups with at least three generators are residually finite},
     journal = {Journal of the European Mathematical Society},
     pages = {331--343},
     publisher = {mathdoc},
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     year = {2011},
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Mark V. Sapir; Iva Špakulová. Almost all one-relator groups with at least three generators are residually finite. Journal of the European Mathematical Society, Tome 13 (2011) no. 2, pp. 331-343. doi : 10.4171/jems/255. http://geodesic.mathdoc.fr/articles/10.4171/jems/255/

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