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Let (G, *) and (H,) be groups. If group (G, *) is cyclic and & H, then (H,) is also cyclic. Select one: O True O False

Let (G, *) and (H,) be groups. If group (G, *) is cyclic and & H, then (H,) is also cyclic. Select one: O True O False

Elements Of Modern Algebra
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 12E: Let H and K be subgroups of a group G and K a subgroup of H. If the order of G is 24 and the order...
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Let (G, *) and (H,) be groups. If group (G, *) is cyclic and G = H, then (H,) is also cyclic. Select one: O True O False
Transcribed Image Text:Let (G, *) and (H,) be groups. If group (G, *) is cyclic and G = H, then (H,) is also cyclic. Select one: O True O False
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