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What can you say about a subgroup of D3 that contains R240

Chapter 3, Problem 8E

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QUESTION:

What can you say about a subgroup of D3 that contains R240 and a reflection F? What can you say about a subgroup of D3 that contains two reflections?

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QUESTION:

What can you say about a subgroup of D3 that contains R240 and a reflection F? What can you say about a subgroup of D3 that contains two reflections?

ANSWER:

Problem 8E

What can you say about a subgroup of that contains  and a reflection F? What can you say about a subgroup of  that contains two reflections?

                                                               Step by Step Solution

Step 1 of 2

Let  be a subgroup of .

If a subgroup of  contains  and F, then , and  are elements of .

That is,

        

        

Thus        

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