Descendant 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

• Ascendant subgroup

References

• Martyn R. Dixon (1994). Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups. World Scientific. p. 6. ISBN 981-02-1795-1.