10. If : G→ H is a group homomorphism and G is cyclic, prove that (G) is also cyclic.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 28E: Let G be a group of order pq, where p and q are primes. Prove that any nontrivial subgroup of G is...
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10. If : G→ H is a group homomorphism and G is cyclic, prove that (G) is also
cyclic.
Transcribed Image Text:10. If : G→ H is a group homomorphism and G is cyclic, prove that (G) is also cyclic.
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