Locally solvable group

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

Definition

A group is termed locally solvable if every finitely generated subgroup of it is a solvable group.

Formalisms

In terms of the locally operator

This property is obtained by applying the locally operator to the property: solvable group
View other properties obtained by applying the locally operator

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
abelian group Solvable group|FULL LIST, MORE INFO
nilpotent group Locally nilpotent group, Solvable group|FULL LIST, MORE INFO
solvable group |FULL LIST, MORE INFO
locally nilpotent group |FULL LIST, MORE INFO