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###### Deepak Patra posted an Question
February 10, 2022 • 19:46 pm 30 points
• IIT JAM
• Mathematics (MA)

# 17. suppose g is a finite group and f/ is a subrgoup of g if[g:]=2, then which of the following statements true ? h.c.u-2018 (a) if xe l/ and ye l, then xy eh (

17. Suppose G is a finite group and F/ is a subrgoup of G If[G:]=2, then which of the following statements true ? H.C.U-2018 (a) If xe l/ and ye l, then xy eH (b) If xe H and ye H, then xeH C) If x£ ll and ye H, xy e lH (d) both (b) and (c) are true

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• ##### Anonymous User Best Answer

D check attachment

sir in this example option b is not satisfied ???

H is not a subgroup of Z4

taking H={0,2}

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