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Determine the right eosets of (1 3) in S3

Chapter 16, Problem 16.6

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QUESTION:

Determine the right eosets of (1 3) in S3.

Questions & Answers

QUESTION:

Determine the right eosets of (1 3) in S3.

ANSWER:

Step 1 of 2

Consider the set S,

The elements in the set  are 6, that is,

Let  be a cyclic subgroup of order 2, the elements in the group are  

Right cosets:

Let H denotes a subgroup of a group G and, then the right cosets of H in G is defined as  

If the group operation is +, then  is written in place  

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