Serial subgroup
id:
serial-subgroup-248-1026048
title:
Serial subgroup
text:
In the mathematical field of group theory, a subgroup H of a given group G is a serial subgroup of G if there is a chain C of subgroups of G extending from H to G such that for consecutive subgroups X and Y in C, X is a normal subgroup of Y. The relation is written H ser G or H is serial in G. If the chain is finite between H and G, then H is a subnormal subgroup of G. Then every subnormal subgroup of G is serial. If the chain C is well-ordered and ascending, then H is an ascendant subgroup of G
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Serial_subgroup
date created:
date modified:
2023-08-13T12:18:23Z
main entity:
{"identifier":"Q17096391","url":"https://www.wikidata.org/entity/Q17096391"}
image:
fields total:
13
integrity:
13