Somnath Jana Asked a Question
April 7, 2021 12:45 pmpts 30 pts
)) Prove that every proper subgroup of a symmetric group S, is cyclic.
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  • Swapnajit das thankyou
    order of S3 is 6. Any proper subgroup of S3 must have order 1,2,3 .because by lagranges theorem, we know order of subgroup divides of order of group. Now being all are prime, all ...
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  • Kiran goswami
    any proper subgroup of S3 must have 1, 2 or 3 elements. (Order of subgroup must divide order of the group.) And any group of prime order is cyclic.
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  • Somnath Jana
    plaese give me the proof
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