CSIR NET
Nidhila rani vs Asked a Question
September 14, 2020 4:32 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

A4 has no subgroup of order 6

A4 has no subgroup of order 6 How to prove it? Why it is taking number of 3- cycles to prove this?
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  • Shashi ranjan sinha Best Answer
    If there exist a subgroup of order 6 in A4, then we have shown by the proof 1 that it would must contain all 3-cycles in that group, which is absurd because we have total 8 element...
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  • Shashi ranjan sinha
    see the second proof
    • cropped2815035859513868152.jpg
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  • Shashi ranjan sinha thankyou
    see the proof 1
    • cropped4818336937383315095.jpg
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