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Groups

A test by Dr. P.K.Sharma.

Test Questions
  1. Question
    You cann't divide in a Group
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  2. Question
    In a finite cyclic group , the number of elements of order d is phi(d) , the number of inters less than or equal to d and coprime to d .
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  3. Question
    If order of elements a and b are finite , then the order of the element ab is also finite
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  4. Question
    If a and b be two elements of finite abelian goup . then the order of the element ab is lcm{ a , b }
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  5. Question
    For every positive integer n there is a cyclic group of order n
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