Descendant subgroup
{{Short description|Abstract algebra subgroup}}
In mathematics, in the field of group theory, a subgroup of a group is said to be descendant if there is a descending series starting from the subgroup and ending at the group, such that every term in the series is a normal subgroup of its predecessor.
The series may be infinite. If the series is finite, then the subgroup is subnormal.
See also
References
- {{cite book | title=Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups | author=Martyn R. Dixon | publisher=World Scientific | year=1994 | isbn=981-02-1795-1 | page=6 }}
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