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Shamsun posted an Question
August 09, 2020 • 10:14 am 30 points
  • IIT JAM
  • Mathematics (MA)

Plz solve the question of group theory given in the image

3 Answer(s) Answer Now
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    Piyush pachauri

    Any doubt , You can ask.

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    case 1...if x isn't in H thn x^-1 also not in H. thn how can we say that if x^-1in H thn (x^-1)^-1 =x€H

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    That is implication after contrapositive statement to prove if a in H then a inverse in H.

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    Piyush pachauri best-answer

    Attachment 2

    cropped1324613524796079752.jpg
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    in case (i) it's given that if x in H thn X^-1 also not in H. nd you said that if x^-1 in H thn x will be in H by subgroup test,.. sir I'm confused at this point

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    it is said that if x is not in H then x inverse is not in H.

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    use contrapositive.

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