Let G be a group and a be an element of this group such that a? = e. The possibleorders of a are:O 1,2,3 and 61,2, 3, 4 and 61,2,3,6 and 12O Only 1 and 2 Let G be a finite cyclic group and a be an element of G of order 8 then the order of Gwould be:224184O O

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Answered: Let G be a finite cyclic group and a be…

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Let G be a finite cyclic group and a be an element of G of order 8 then the order of G would be: 2 24 O 18 4

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.4: Cyclic Groups

Problem 23E: Let G= a be a cyclic group of order 24. List all elements having each of the following orders in G....

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Question

Let G be a group and a be an element of this group such that a? = e. The possible
orders of a are:
O 1,2,3 and 6
1,2, 3, 4 and 6
1,2,3,6 and 12
O Only 1 and 2

Let G be a finite cyclic group and a be an element of G of order 8 then the order of G
would be:
2
24
18
4
O O

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