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Let H = {(1), (12)}. Is H normal in S3

Chapter 9, Problem 1E

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QUESTION:

Let H = {(1), (12)}. Is H normal in S3?

Questions & Answers

QUESTION:

Let H = {(1), (12)}. Is H normal in S3?

ANSWER:

Step 1 of 2

Let the subgroup be  

A subgroup H given of a group G is normal if and only if,

 for all  

And another condition for H to be normal which is necessary and sufficient is

 for all that is  for every  

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