NORMALSUBGROUP

Normal subgroup

In abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup H of a group G is normal in G if and only if gH = Hg for all g in G . Normal subgroups can be used to construct quotient groups from a given group.

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normal subgroup

Noun

  1. A subgroup H of a group G that is invariant under conjugation; that is, for all elements h of H and for all elements g in G, the element ghg−1 is in H.


The above text is a snippet from Wiktionary: normal subgroup
and as such is available under the Creative Commons Attribution/Share-Alike License.

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