Normal Subgroup - Pure Mathematics - Algebra Dictionary Definition A subgroup N of a group G such that for every g in G and n in N, the conjugate gng^{-1} lies in N; equivalently, left cosets equal right cosets and N is invariant under conjugation by G.
Normal Subgroup - Pure Mathematics - Algebra Dictionary Definition A subgroup N of a group G such that for every g in G and n in N, the conjugate gng^{-1} lies in N; equivalently, left cosets equal right cosets and N is invariant under conjugation by G.