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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.4: Cyclic Groups

Problem 20E: Consider the group U9 of all units in 9. Given that U9 is a cyclic group under multiplication, find...

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(a) List all of the generators of the group Z18.
(b) Find all elements of order 9 in Z36.
(c) List all of the subgroups of Z40 without repetition (express each subgroup in the form
(a) for some a € Z40).

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