?Which of the following statement is true The largest order among the orders of all the cyclic subgroups of Z, x Z, is 48. Direct product of groups is abelian. Z,x Z, is cyclic. Z10 x Zz x Z, Zs *Z, x Z2- None of them

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 10E: Exercises 10. For each of the following values of, find all subgroups of the cyclic group under...
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?Which of the following statement is true
The largest order among the orders of all the cyclic subgroups of Z, x Z, is 48.
Direct product of groups is abelian.
Z,x Z, is cyclic.
Z1, x Z x Z, Zs × Z,x Z. O
None of them
Transcribed Image Text:?Which of the following statement is true The largest order among the orders of all the cyclic subgroups of Z, x Z, is 48. Direct product of groups is abelian. Z,x Z, is cyclic. Z1, x Z x Z, Zs × Z,x Z. O None of them
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