Fully invariant series

This article defines a property that can be evaluated for a subgroup series

View a complete list of properties of 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.

Relation with other properties

Stronger properties

• Intermediately fully invariant series

Weaker properties

• Strictly characteristic series
• Characteristic series
• Normal series
• Subnormal series