Question

State and prove Langrorange's theorem.​

Answer 1

Answer: Lagrange's Theorem: If H is a subgroup of G , then |G|=n|H| | G | = n | H | for some positive integer n . This is called the index of H in G . Furthermore, there exist g1,...,gn g 1 , . . . , g n such that G=Hr1∪...∪Hrn G = H r 1 ∪ . . . ∪ H r n and similarly with the left-hand cosets relative to H .

Answer 2

Answer:

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