Answered: Find the order of the factor group…

Find the order of the factor group U(16)/(9)where U(16)={1,3,5,7,9,11,13,15} with operation multiplication mod 16 and (9)is the cyclic subgroup generated by 9.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.6: Quotient Groups

Problem 27E: 27. a. Show that a cyclic group of order has a cyclic group of order as a homomorphic image. ...

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Question

Find the order of the factor group U(16)/(9)where U(16)-{1,3,5,7,9,11,13,15} with
operation multiplication mod 16 and (9)is the cyclic subgroup generated by 9.

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