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Consider the set {4, 8, 12, 16}. Show that this set is a

Chapter 4, Problem 38E

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QUESTION:

Problem 38E

Consider the set {4, 8, 12, 16}. Show that this set is a group under multiplication modulo 20 by constructing its Cayley table. What is the identity element? Is the group cyclic? If so, find all of its generators.

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QUESTION:

Problem 38E

Consider the set {4, 8, 12, 16}. Show that this set is a group under multiplication modulo 20 by constructing its Cayley table. What is the identity element? Is the group cyclic? If so, find all of its generators.

ANSWER:

Step 1 of 5

Consider the set . To show that this set is group under multiplication modulo .

Now,

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