A cyclically pinched product of free groups which is not residually free.
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F. Levin, G. Rosenberger, B. Baumslag (1993)
Mathematische Zeitschrift
John S. Wilson, Chiara Tamburini (1984)
Mathematische Zeitschrift
Otera, Daniele Ettore, Russo, Francesco G. (2010)
International Journal of Mathematics and Mathematical Sciences
Tieudjo, D. (2005)
International Journal of Mathematics and Mathematical Sciences
Mark V. Sapir, Iva Špakulová (2011)
Journal of the European Mathematical Society
We prove that with probability tending to 1, a one-relator group with at least three generators and the relator of length is residually finite, is a virtually residually (finite -)group for all sufficiently large , and is coherent. The proof uses both combinatorial group theory and non-trivial results about Brownian motions.
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