Fully invariant series: Difference between revisions
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==Definition== | ==Definition== | ||
A [[subgroup series]] of a [[group]] is termed a '''fully characteristic series''' if all members of the series are [[fully | A [[subgroup series]] of a [[group]] is termed a '''fully invariant series''' '''fully characteristic series''' if all members of the series are [[fully invariant subgroup]]s of the whole group. | ||
==Relation with other properties== | ==Relation with other properties== | ||
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===Stronger properties=== | ===Stronger properties=== | ||
* [[Intermediately fully | * [[Intermediately fully invariant series]] | ||
===Weaker properties=== | ===Weaker properties=== | ||
Revision as of 21:18, 14 August 2013
This article defines a property that can be evaluated for a subgroup series
Definition
A subgroup series of a group is termed a fully invariant series fully characteristic series if all members of the series are fully invariant subgroups of the whole group.