13. For each of the following values of n, find all subgroups of the group G described in Exercise 11, and state their order. а. п 3D 7 b. n = 5 с. п 3D 11 d. n = 13 е. п %3D 17 f. n = 19

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Chapter2: Second-order Linear Odes
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Group G is the nonzero elements of group Zwith respect to multiplication

13. For each of the following values of n, find all subgroups of the group G described in
Exercise 11, and state their order.
с. п %3D 11
f. n = 19
a. n = 7
b. n = 5
d. n = 13
е. п 3D 17
Transcribed Image Text:13. For each of the following values of n, find all subgroups of the group G described in Exercise 11, and state their order. с. п %3D 11 f. n = 19 a. n = 7 b. n = 5 d. n = 13 е. п 3D 17
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Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

 

(a)   consider the provided question,

      n=7

    z7=0,1,2,3,4,5,6Here, U7=0,1,2,3,4,5,6as the non zero element of z7 with respect to multiplication,

 

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