#1-4 (Here\'s page 69) Let us take a look at S3. First, we list all the permutat

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#1-4

(Here's page 69)

Let us take a look at S3. First, we list all the permutations of the set {1,2,3} Thus, the net effect is the same as if the square had been flipped about its axis C. The eight symmetries of the square form a group under the operation = of composition, called the group of symmetries of the square. For every positive integer n > 3. the regular polygon with n sides has a group of symmetries, symbolized by 0, which may be found as we did here. These groups are called the dihedral groups. For example, the group of the square is Dt. the group of the pentagon is D,. and so on. Every plane figure which exhibits regularities has a group of symmetries. For example, the following figure, has a group of symmetries con

Explanation / Answer

I assume you want the left coset, the right coset are found in a similar way.
So you want G/H = { gH / g in G}

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