Ascendant subgroup
id:
ascendant-subgroup-193-9052451
title:
Ascendant subgroup
text:
In mathematics, in the field of group theory, a subgroup of a group is said to be ascendant if there is an ascending series starting from the subgroup and ending at the group, such that every term in the series is a normal subgroup of its successor. The series may be infinite. If the series is finite, then the subgroup is subnormal. Here are some properties of ascendant subgroups: Every subnormal subgroup is ascendant; every ascendant subgroup is serial.
In a finite group, the properties of bein
brand slug:
wiki
category slug:
encyclopedia
description:
Type of subgroup in group theory
original url:
https://en.wikipedia.org/wiki/Ascendant_subgroup
date created:
date modified:
2023-10-25T19:53:46Z
main entity:
{"identifier":"Q4803805","url":"https://www.wikidata.org/entity/Q4803805"}
image:
fields total:
13
integrity:
14