the only homomorphism f  : S6 to  Z77 is the trivial one,  Select one: True False

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 10E: 10. Let and be mappings from to. Prove that if is invertible, then is onto and is...
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the only homomorphism f  : S6 to  Z77 is the trivial one, 

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