Locally solvable group

A group in which every finitely-generated subgroup is solvable (see Finitely-generated 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[edit]

[1] |  A.G. Kurosh, "The theory of groups" , 1–2 , Chelsea (1955–1956) (Translated from Russian)

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