Subnormal subgroup
id:
subnormal-subgroup-293-4427398
title:
Subnormal subgroup
text:
In mathematics, in the field of group theory, a subgroup H of a given group G is a subnormal subgroup of G if there is a finite chain of subgroups of the group, each one normal in the next, beginning at H and ending at G. In notation, H is k -subnormal in G if there are subgroups of G such that H i is normal in H i + 1 for each i . A subnormal subgroup is a subgroup that is k -subnormal for some positive integer k .
Some facts about subnormal subgroups: A 1-subnormal subgroup is a proper normal
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Subnormal_subgroup
date created:
date modified:
2023-10-25T19:52:02Z
main entity:
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13
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