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If 151> I, then M(S) is not a group with respect to composition. Why

Chapter 5, Problem 5.15

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QUESTION:

If 151> I, then M(S) is not a group with respect to composition. Why?

Questions & Answers

QUESTION:

If 151> I, then M(S) is not a group with respect to composition. Why?

ANSWER:

Step 1 of 2

The objective is to show that M(S) is not a group with respect to composition if .

Let  be a set, such that . There exist  such that . The mapping  can be defined by:

We also know that .

 

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