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 aH = Ha for all a in G (see coset). Normal subgroups (and only normal subgroups) can be used to construct quotient groups from a given group.

Évariste Galois was the first to realize the importance of the existence of normal subgroups.

Read more about Normal Subgroup:  Definitions, Examples, Properties, Normal Subgroups and Homomorphisms

Famous quotes containing the word normal:

    I shouldn’t say I’m looking forward to leading a normal life, because I don’t know what normal is. This has been normal for me.
    Martina Navratilova (b. 1956)