View source for Locally solvable group

A group in which every finitely-generated subgroup is solvable (see [[Finitely-generated group|Finitely-generated group]]; [[Solvable group|Solvable group]]). The class of locally solvable groups is closed with respect to taking subgroups and homomorphic images, but it is not closed under extension.

A locally solvable torsion group is locally finite.

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  A.G. Kurosh,   "The theory of groups" , '''1–2''' , Chelsea  (1955–1956)  (Translated from Russian)</TD></TR></table>