Strongly characteristic series

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

View a complete list of properties of subgroup series


A subgroup series of a group is termed a strongly characteristic series if every smaller member of the subgroup series is a characteristic subgroup in every bigger member.


Any subgroup series obtained by iterating a subgroup-defining function is a strongly characteristic series. Here are two examples:

Relation with other properties

Stronger properties

Weaker properties