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How many generators are exists for the cyclic group of order 26.
    Correct answer is '12'. Can you explain this answer?
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    How many generators are exists for the cyclic group of order 26.Correc...
    Let G = [ a ] be a cyclic group . then generators of this group is of the from am
    where m < 26 . [ Co-prime of 26 ]
    Hence m = 1, 3 ,5 , 7 , 9 , 1 1 , 15 ,17 ,1 9,2 1 ,23 ,25 total generators are 12.
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    How many generators are exists for the cyclic group of order 26.Correc...
    Here order of group is 26
    So no. of generator is equal to phi(26)=26(1-1÷2)(1-1÷13)=26(1÷2)(12÷13)=12
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    How many generators are exists for the cyclic group of order 26.Correc...
    Let G = [ a ] be a cyclic group . then generators of this group is of the from am
    where m < 26 . [ Co-prime of 26 ]
    Hence m = 1, 3 ,5 , 7 , 9 , 1 1 , 15 ,17 ,1 9,2 1 ,23 ,25 total generators are 12.
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    How many generators are exists for the cyclic group of order 26.Correct answer is '12'. Can you explain this answer?
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