(a). ker() ◄ G. (b). H≤G⇒(H) ≤ y(G). (c). H'G'⇒-¹(H') ≤G. Ali

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11. Let : (G, *) → (G',') be a group homomorphism. Prove that
(a). ker() ◄ G.
(b). HAG⇒y(H) ≤ p(G).
(c). H'G'⇒¯¹(H') ≤G.
Ali
Transcribed Image Text:11. Let : (G, *) → (G',') be a group homomorphism. Prove that (a). ker() ◄ G. (b). HAG⇒y(H) ≤ p(G). (c). H'G'⇒¯¹(H') ≤G. Ali
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