Descendant subgroup
Jump to navigation
Jump to search
This content was retrieved from
Wikipedia : http://en.wikipedia.org/wiki/Descendant_subgroupIn 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.
This abstract algebra-related article is a stub. You can help Wikipedia by expanding it. |
This page is based on the copyrighted Wikipedia article "Descendant subgroup"; it is used under the Creative Commons
Attribution-ShareAlike 3.0 Unported License (CC-BY-SA). You may
redistribute it, verbatim or modified, providing that you comply with
the terms of the CC-BY-SA