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The document summarizes several isomorphism theorems for groups: 1) The First Isomorphism Theorem states that if φ is a surjective homomorphism from G to G/K, then G/K is isomorphic to G/Ker(φ). 2) The Second Isomorphism Theorem states that if H is a subgroup of G and N is a normal subgroup of G, then HN = {hn | h ∈ H, n ∈ N} and H/H∩N is isomorphic to HN/N. 3) The Third Isomorphism Theorem states that if K is a normal subgroup of H and H is a normal subgroup of G, then G/H is isomorphic to

Author

Tushar Sisodia

Language

EN