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Ashwini Asked a Question
February 6, 2021 10:04 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

Let h a be subgroup of s4 such that h contains (12) and (234). then which of these must hold true? h cannot be proper subgroup of s4

Let H a be subgroup of S4 such that H contains (12) and (234). Then which of these must hold true? H cannot be proper subgroup of S4 CORRECT ANSWER H is a cyclic H is Abelian All of these
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  • Satpal singh thankyou
    see this Possible subgroups for S4 are A4,D4,K4,S3,Z4,Z3,Z2. Option 2 is not possible because H will be generated by only {(123),(12)},{(124),(12)},{(134),(13)},{(234),(23)}. Opt...
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