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Solutions for Modern Algebra: An Introduction | 6th Edition | ISBN: 9780470384435 | Authors: John R. Durbin 9780470384435

Solution for problem 18.4 Chapter 18

Repeat 18.3, with Z4 replaced by Z2 x Z2

Modern Algebra: An Introduction | 6th Edition


Problem 18.4

Repeat 18.3, with Z4 replaced by Z2 x Z2.

Accepted Solution
Step-by-Step Solution:

Step 1 of 3

Let us assume a group

Now we need to develop a group from the above. Group  is isomorphic to

Therefore, the composition table for   can be written as follows.

Chapter 18, Problem 18.4 is Solved

Step 2 of 3


Step 3 of 3

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Repeat 18.3, with Z4 replaced by Z2 x Z2