Descendant subgroup
From HandWiki
Revision as of 00:51, 10 May 2022 by imported>JTerm (over-write)
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
- Martyn R. Dixon (1994). Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups. World Scientific. p. 6. ISBN 981-02-1795-1.
 |  |
