Group of finite chief length

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This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: group satisfying ascending chain condition on normal subgroups and group satisfying descending chain condition on normal subgroups
View other group property conjunctions OR view all group properties

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

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

Definition

A group of finite chief length is a group satisfying the following equivalent conditions:

Relation with other properties

Stronger properties

Weaker properties