11. According to Exercise 33 of Section 3.1, if n is prime, the nonzero elements of Z, form a group Un with respect to multiplication. For each of the following values of that this group Un is cyclic. C.3.1, #33 > п, show a. n = 7 b. n = 5 с. п 3D 11 n = 13 e. п 3 17 f. n = 19

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 11E: Exercises 11. According to Exercise of section, if is prime, the nonzero elements of form a...
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e. 3.1, #33 > 11. According to Exercise 33 of Section 3.1, ifn is prime, the nonzero elements of Z, form
a group Un with respect to multiplication. For each of the following values of n, show
that this group Un is cyclic.
п,
b. n = 5
%3D
%3D
%3D
d, n = 13
e. n = 17
f. n = 19
%3D
Transcribed Image Text:e. 3.1, #33 > 11. According to Exercise 33 of Section 3.1, ifn is prime, the nonzero elements of Z, form a group Un with respect to multiplication. For each of the following values of n, show that this group Un is cyclic. п, b. n = 5 %3D %3D %3D d, n = 13 e. n = 17 f. n = 19 %3D
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