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

References


This article is issued from Wikipedia - version of the 5/8/2012. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.