Neha posted an Question
July 21, 2020 • 21:14 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Consider the alternating group a, = {o e s, : a is an even permutation} which of the following is false? (a) a has 12 elements. (c) a, has a subgroup of order 6

Consider the alternating group A, = {o e S, : a is an even permutation} which of the following is FALSE? (A) A has 12 elements. (C) A, has a subgroup of order 6. (B) (D) A, has exactly on subgroup of order 4. Number of 3 cycles in A, is 8.

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    Deepak singh 1

    option c is correct

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    explanation please

    eduncle-logo-app

    nether A4 contains any element of order 6 nor we can't make order 6 element..as 6=2\u00D73 and A4

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    any doubt please ask

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