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Construct the Cayley table for the group Z4
Chapter 11, Problem 11.6(choose chapter or problem)
QUESTION:
Construct the Cayley table for the group Z4.
Questions & Answers
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