A new general-purpose diameter bound for finite groups, depending only on composition-factor diameters and maximal normal abelian exponent, implies polylogarithmic diameters for anabelian groups with bounded-rank factors and polynomial diameters for transitive soluble subgroups of S_n.
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Diameter bounds for arbitrary finite groups and applications
A new general-purpose diameter bound for finite groups, depending only on composition-factor diameters and maximal normal abelian exponent, implies polylogarithmic diameters for anabelian groups with bounded-rank factors and polynomial diameters for transitive soluble subgroups of S_n.