We show that, as n goes to infinity, the free group on n generators, modulo <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mi>n</m:mi><m:mo>+</m:mo><m:mi>u</m:mi></m:mrow></m:math> {n+u} random relations, converges to a random group that we give explicitly. This random group is a non-abelian version of the random abelian groups that feature in the Cohen–Lenstra heuristics. For each n , these random groups belong to the few relator model in the Gromov model of random groups.
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Liu et al. (2018) studied this question.