Group of finite chief length
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
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A group of finite chief length is a group satisfying the following equivalent conditions:
- It possesses a chief series of finite length, i.e., a normal series of finite length that cannot be further refined.
- It satisfies the ascending chain condition on normal subgroups as well as the descending chain condition on normal subgroups.