Anku posted an Question
April 28, 2021 • 02:45 am 30 points
  • IIT JAM
  • Mathematics (MA)

This result will hold true only in case of finite cyclic group...pls once tell

this result will hold true only in case of finite cyclic group...

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  • Alka gupta best-answer

    Lagrange Theorem says " The order of every subgroup of a finite group is a divisor of the order of the group". but converse of this theorem is not ture..... converse is " if m is divisor of order of group G then it is not necessary that group have m order subgroup" this converse statement holds only for cyclic groups.

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    Deepak singh 1 Best Answer

    yes , this result is valid for finite groups .

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    sir it means that its not necessary that group be cyclic

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    only in finite groups either cyclic or non cyclic (i.e for both ).

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    ok sir

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