Anku posted an Question
April 30, 2021 • 01:49 am 30 points
  • IIT JAM
  • Mathematics (MA)

In property 3 how can it be possible that ah=bh but ah intersection bh=∅ ...pls once tell

how can it be possible that aH=bH but aH intersection bH=∅ ...pls once tell

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  • Alka gupta best-answer

    this is property of cosets " two cosets of any subgroup of group G are either identical or disjoint"

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    Deepak singh 1 Best Answer

    aH=bH or aH intersection bH = phi Note : here is " or "

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    see here in example - (12)H= (123)H and (13)H intersection (23)H = phi I.e either aH =bH or aH intersection bH = phi

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