Smoothly solvable group family

Symbol-free definition
A family of finite groups is said to be smoothly solvable if all its members are solvable and further, there is a uniform upper bound on the solvable lengths and such that the set of all composition factors of derived series for all the groups, forms a smoothly Abelian group family.

Stronger properties

 * Smoothly Abelian group family
 * Smooothly cyclic group family