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Suppose G is the group defined by the following Cayley

Chapter 3, Problem 37E

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QUESTION:

Suppose G is the group defined by the following Cayley table. a. Find the centralizer of each member of G.b. Find Z(G).c. Find the order of each element of G. How are these orders arithmetically related to the order of the group?

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QUESTION:

Suppose G is the group defined by the following Cayley table. a. Find the centralizer of each member of G.b. Find Z(G).c. Find the order of each element of G. How are these orders arithmetically related to the order of the group?

ANSWER:

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The table is given below:

                               

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