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Prerna Chaudhary posted an Question
October 06, 2021 • 03:58 am 30 points
  • IIT JAM
  • Mathematics (MA)

Prove that a has a subgroup of order 12.

Prove that A has a subgroup of order 12. please completely proof it

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  • Anonymous User best-answer

    we know that An is a symmetric group of even permutations of order n!/2 therefore A5 is a symmetric group of even permutations of order 60. A4 is a symmetric group of even permutations of order 12 which is a subgroup of A5 (subgroup of order 12 is isomophic to A4) so A5 has a subgroup of order 12

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