Difference between revisions of "Descendant subgroup"
From Encyclopedia of Mathematics
(link subgroup system) |
m (Added category TEXdone) |
||
| Line 1: | Line 1: | ||
| + | {TEX|done}} | ||
{{MSC|20F14}} | {{MSC|20F14}} | ||
Revision as of 13:32, 12 December 2013
{TEX|done}} 2020 Mathematics Subject Classification: Primary: 20F14 [MSN][ZBL]
A subgroup of a group for which 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 an infinite subgroup system. If the series is finite, then the subgroup is subnormal.
References
- Martyn R. Dixon, "Sylow Theory, Formations, and Fitting Classes", in Locally Finite Groups (World Scientific, 1994) ISBN 9810217951, p.6
How to Cite This Entry:
Descendant subgroup. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Descendant_subgroup&oldid=31032
Descendant subgroup. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Descendant_subgroup&oldid=31032