Normal series

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

View a complete list of properties of subgroup series

Definition

Symbol-free definition

A subgroup series is said to be a normal series if every member of the series is a normal subgroup of the whole group.

Relation with other properties

Stronger properties

• Fully invariant series
• Strongly characteristic series
• Characteristic series

Weaker properties

• Subnormal series