Solvable group generated by finitely many periodic elements

Definition
A solvable group generated by finitely many periodic elements is a group that is both a solvable group and a group generated by finitely many periodic elements.

Incomparable properties

 * periodic solvable group: Clearly, being periodic and solvable does not implies being generated by finitely many periodic elements, because the group may not be finitely generated. For the converse non-implication, see solvable and generated by finitely many periodic elements not implies periodic.