Anku posted an Question
October 09, 2020 • 18:18 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Using method i used to find order of all subgroups....pls show how using way we can find order of all subgroups of order 36

using method i used to find order of all subgroups....pls show how to find order of all subgroups of 36

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    Chandra prakash best-answer

    Consider a finite group G, of order n. Then a subgroup of G, has possible orders m, which divide n. That is, set of all positive integers that divide n( order of G), are POSSIBLE orders for a subgroup of G. Note that, just because it divides n, doesn't mean it is a subgroup. It is just a possibility.

  • Srinath Best Answer

    Consider a finite group G, of order n. Then a subgroup of G, has possible orders m, which divide n. That is, set of all positive integers that divide n( order of G), are POSSIBLE orders for a subgroup of G. Note that, just because it divides n, doesn't mean it is a subgroup. It is just a possibility.

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