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Let G be a non abelian group of order 21. Let  Then the number of non identity elements in S is
  • a)
     6
  • b)
     7
  • c)
     14
  • d)
     can't say any thing
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Let G be a non abelian group of order 21. Let Then the number of non i...
If o(G) = pq where p and q are distinct prime such that p>q then the number of elements of order p in G is p-1
If 
⇒ g8 = g
⇒ g7 = e
⇒ either o(g) = 7 or g = e
So, number of non identity elements in S = number of elements of order 7=6.
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Let G be a non abelian group of order 21. Let Then the number of non identityelements in S isa)6b)7c)14d)cant say any thingCorrect answer is option 'A'. Can you explain this answer?
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