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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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