Maximal Subgroup| Normal subgroup| a normal subgroup H of G is maximal if and only if G/H is simple

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normal subgroup h of g is maximal iff the quotient group g/h is simple #theorem normal subgroup h of g is maximal iff the quotient group g/h is simple #theorem
Maximal Normal Subgroup | Proof H is a maximal normal subgroup of G iff G/H is simple | Group Theory Maximal Normal Subgroup | Proof H is a maximal normal subgroup of G iff G/H is simple | Group Theory
A subgroup H of a group G is a normal subgroup of G if and only if ghg^-1 ∈ H ∀ g∈G and h∈H. A subgroup H of a group G is a normal subgroup of G if and only if ghg^-1 ∈ H ∀ g∈G and h∈H.
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