A condition for a finite group to be nilpotent
A condition for a finite group to be nilpotent
Let xe be a class of groups such that: (i) If G is in 3C, then every homomorphic image of G is in 3C. (ii) If G is finite and G/4(G) is in 3C, where +(G) is the Frattini subgroup of G, then G is in XC. Examples of such …