Artinian 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
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This is a variation of finiteness (groups)|Find other variations of finiteness (groups) |

Definition

A group is said to be Artinian or to satisfy the minimum condition on subgroups if every descending chain of subgroups stabilizes after a finite stage.

Relation with other properties

Stronger properties

Weaker properties