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Prove that A x (e) is a subgroup of Ax B

Chapter 15, Problem 15.17

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QUESTION:

Prove that A x (e) is a subgroup of Ax B.

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QUESTION:

Prove that A x (e) is a subgroup of Ax B.

ANSWER:

Step 1 of 3

The elements in is considered to be where a is an element of A and e is the identity element of B.

So, if A is  and B is

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