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Prerna Chaudhary posted an Question
December 26, 2021 • 15:13 pm 30 points
  • IIT JAM
  • Mathematics (MA)

4. let p be a prime. if a group has more than (p -1) elements of order p. then prove that the group cannot be cyclic.

4. Let p be a prime. If a group has more than (p -1) elements of order p. Then prove that the group cannot be cyclic.

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  • Anonymous User Best Answer

    check attachment

    cropped536436915074629092.jpg
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    p=2 S3 has more then 2 order element and S3 is not cyclic

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