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For Example 8.1 (the group of symmetries of a square), determine the right eosets of

Chapter 16, Problem 16.3

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QUESTION:

For Example 8.1 (the group of symmetries of a square), determine the right eosets of (PH)'

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QUESTION:

For Example 8.1 (the group of symmetries of a square), determine the right eosets of (PH)'

ANSWER:

Step 1 of 3

A subgroup H of a group G may be used to decompose the underlying set of G into disjoint, equal-size subsets called cosets.

Left and right cosets. Recall the definition Definition 1 Let  be a group and  a subgroup of . A left coset of  is a subset of  of the form . In the same way, we can define right cosets to be  for .

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