Anku posted an Question
July 01, 2021 • 12:25 pm 30 points
  • IIT JAM
  • Mathematics (MA)

How to solve pls once show steps..

how to solve pls once show steps.... . as per me it should be false as order of each element divides order of group and Z/103Z Is isomorphic to Z(103) and 51 does not divide 103 but its ans is true .it was question of TIFR

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  • Alka gupta Best Answer

    see...

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    mam group Z/3Z will have order 2 since 3 is prime?

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    yes here operations is multiplication...hence elements in field Z/mZ is always m-1 ....if here additive group is given then order of quotient group Z/mZ is m

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