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Prove or disprove that Z~ is a group with respect to 8

Chapter 11, Problem 11.13

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QUESTION:

Prove or disprove that  is a group with respect to .

Questions & Answers

QUESTION:

Prove or disprove that  is a group with respect to .

ANSWER:

Step 1 of 2

The given part is, , where we need to check that  is a group or not with respect to .

Here, if we will prove it is an abelian and follows associativity, has an identity, has an inverse, and is closed under the respective operation, then it will be a group.

 

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