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Deepak Patra posted an Question
January 02, 2022 • 20:39 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Is there exists any subgroup in s4 such that subgroup is isomorphic to z4????

Is there exists any subgroup in S4 such that subgroup is isomorphic to Z4????

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  • Anonymous User Best Answer

    I,(13)(24),(1234), (1432) is subgroup of S4 which is isomorphic to z4 other subgroup check second attachment

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    what's ur dabut

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    mapping f(I)=0, f(1234)=1,f((13)(24))=2,f(1432)=3 mapping isomorphism

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    but sir there are 5 elements in the subgroup ???

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    4 elements I, (13)(24), (1234), (1432)

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    sorry , i thought 5 elements

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