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Vijay posted an Question
October 04, 2020 • 13:51 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Is index referring to the order of a group here?

is index referring to the order of a group here? if not then please define what index is.

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    Piyush pachauri Best Answer

    the index of a subgroup H in a group G is the number of left cosets of H in G, or equivalently, the number of right cosets of H in G. index is denoted by [G:H] = O(G)/O(H)

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    Thank you, Piyush sir.

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    No problem

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