A Brief Introduction to Normal Subgroups of a Group in Abstract Algebra

Описание: In Group Theory from Abstract Algebra, if we are given a group G and a subgroup H of G, we say that H is a normal subgroup of G, written H ⊲ G, if aH = Ha for all a in G. That is, if, for all elements "a" of the group G, the left coset of H in G containing "a" equals the right coset of H in G containing "a". There is also a normal subgroup test. All the conjugate subgroups of H in G need equal H itself. In other words, H is the unique conjugate subgroup to itself.

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