Recent content by mathwhiz22

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    COSETS are equal for finite groups

    i still don't get it.. haha sorry :(
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    COSETS are equal for finite groups

    n is the number of cosets of G
  3. M

    COSETS are equal for finite groups

    well, i know that since cosets from the subgroup of H form partitions of the group G, and G is finite, then G is completely separated into a finite number of cosets. I know that since each coset has |H| elements, then |G|=|H|*n so therefore |H| divides |G|, proving the theorem. SO, what does...
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    COSETS are equal for finite groups

    Homework Statement Prove that if H is a subgroup of a finite group G, then the number of right cosets of H in G equals the number of left cosets of H in G Homework Equations Lagrange's theorem: for any finite group G, the order (number of elements) of every subgroup H of G divides...