Ascendant subgroup

In mathematics, in the field of group theory, a subgroup of a group is said to be ascendant if there is an ascending series starting from the subgroup and ending at the group, such that every term in the series is a normal subgroup of its successor.

The series may be infinite.

If the series is finite, then the subgroup is subnormal.

Here are some properties of ascendant subgroups: This group theory-related article is a stub.

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