Let 0:Z50-Z15 be a group homomorphism with 0(x)=4x. Then, Ker(Ø)= {0, 10, 20, 30, 40)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.5: Isomorphisms
Problem 35E: Exercises 35. Prove that any two groups of order are isomorphic.
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Let 0:250 Z15 be a group homomorphism with 0(x)=4x. Then, Ker(0)= *
O (0, 10, 20, 30, 40}
None of the choices
(0, 5, 15, 25, 35, 45)
O (0,15,30,45}
acer
Transcribed Image Text:Let 0:250 Z15 be a group homomorphism with 0(x)=4x. Then, Ker(0)= * O (0, 10, 20, 30, 40} None of the choices (0, 5, 15, 25, 35, 45) O (0,15,30,45} acer
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