Fully invariant series: Difference between revisions
No edit summary |
|||
| Line 3: | Line 3: | ||
==Definition== | ==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 subgroup]]s of the whole group. | A [[subgroup series]] of a [[group]] is termed a '''fully invariant series''' or '''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== | ||
Latest revision as of 21:23, 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 or fully characteristic series if all members of the series are fully invariant subgroups of the whole group.