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Construct the Cayley table for the group Z4

Chapter 11, Problem 11.6

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QUESTION:

Construct the Cayley table for the group Z4.

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QUESTION:

Construct the Cayley table for the group Z4.

ANSWER:

Step 1 of 3

A Cayley table, also known as a multiplication table or a group table, is a way of representing the operation of a group by tabulating all possible products of the group's elements. The table has one row and one column for each element of the group, and the entry in row  and column  is the product .

Let  be a group with operation . Let  be the Cayley table for the group, with  denoting the element at row  and column .

Then

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