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Vijay posted an Question
October 23, 2021 • 08:47 am 30 points
  • IIT JAM
  • Mathematics (MA)

21. give two reasons why the set of odd permutations in s, is not a subgroup.

21. Give two reasons why the set of odd permutations in S, is not a subgroup.

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  • Abhi 1 Best Answer

    1- Identity is an even permutation which does not belong to the set off odd permutation so it's can not be a group. 2- if we operate two odd permutation we get an even permutation, so closure does not hold, so it can not be a group

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