for each of the group Z2,Z3,Z4,Z10 indicate which are cyclic. for those that are cyclic list all the generatos?

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 17E: Show that a group of order 4 either is cyclic or is isomorphic to the Klein four group e,a,b,ab=ba.
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for each of the group Z2,Z3,Z4,Z10 indicate which are cyclic. for those that are cyclic list all the generatos?

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