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If G is a finite group of order n, then for every a ∈ G, we have
  • a)
    an = e, an identity element
  • b)
    an = a-1 
  • c)
    an = a
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If G is a finite group of order n, then for every a ∈ G, we havea...
Yes, for every element a in G, the order of a must divide the order of G. This is known as Lagrange's theorem. In other words, if G is a finite group of order n and a is an element of G, then the order of a divides n.
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If G is a finite group of order n, then for every a ∈ G, we havea...
Suppose we have S5 and a belongs to S5 then a^5 =e
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If G is a finite group of order n, then for every a ∈ G, we havea)an= e, an identity elementb)an = a-1c)an= ad)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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