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Consider the mapping T t-+ M(T) from the set of subsets of a plane to the set of

Chapter 8, Problem 8.8

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QUESTION:

Consider the mapping T t-+ M(T) from the set of subsets of a plane to the set of symmetrygroups. Is it one-to-one? Explain.

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QUESTION:

Consider the mapping T t-+ M(T) from the set of subsets of a plane to the set of symmetrygroups. Is it one-to-one? Explain.

ANSWER:

Step 1 of 3

We are considering a mapping  where  is the set of subsets of a plane and  is the set of symmetry groups. We will show that this mapping is not one-to-one.

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