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Antima Jangid posted an Question
January 08, 2022 • 12:45 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Question is in description
If a group has exactly fie(k) element of order k , then there exist a conjugacy class with cardinality fie(k). ( fie(k) is Euler's fie function) is the statement true or false? give example
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Anonymous User![best-answer]()
this statement true example in S3 pi(3) elements of order 3. and there exist conjuacy class of order pi(3) check attachment
I think it is true only for non-abelian groups. Am I right?
yes