Minimax 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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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

This property makes sense for infinite groups. For finite groups, it is always true

Definition

A group is said to be a minimax group if it has a subnormal series of finite length such that each successive quotient satisfies either the minimum condition on subgroups (i.e., is an Artinian group) or the maximum condition on subgroups (i.e., is a Noetherian group).

Relation with other properties

Stronger properties

Conjunction with other properties