Anonymous posted an Question
July 25, 2020 • 21:37 pm 50 points
  • IIT JAM
  • Mathematics (MA)

Prove or disprove that if gis a finite abelian group of order n, and k is a positive integer which divides n, then g has at most one subgroup of order k.

Prove or disprove that if Gis a finite abelian group of order n, and k is a positive integer which divides n, then G has at most one subgroup of order k.

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  • Shashi ranjan sinha best-answer

    There are lots of example to disprove the statement. 1)Order 2 subgroups of dihedral group of order 2n. 2) Quaternion groups, etc.

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    Deepak singh 1 Best Answer

    take G = K4 kliens group , it's not true..

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