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Existence of a $2$ -generated counterexample to the quotient criterion for $\frac{3}{2}$ -generation
Counterexample question. Does there exist a $2$ -generated group with no noncyclic proper quotients that is not $\frac{3}{2}$ -generated?
Problemopengeneration group-theory quotient-groupsarXiv posted 2 days ago

Existence of a 222-generated counterexample to the quotient criterion for 32\frac{3}{2}23​-generation