Question

state and prove lagranges thearem​

Answer 1

Answer:

Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order (number of elements) of every subgroup H of G divides the order of G.

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Answer 2

Answer:

Lagrange theorem is one of the central theorems of abstract algebra. It states that in group theory, for any finite group say G, the order of subgroup H of group G divides the order of G. The order of the group represents the number of elements. This theorem was given by Joseph-Louis Lagrange. In this article, let us discuss the statement and proof of Lagrange theorem in Group theory, and also let us have a look at the three lemmas used to prove this theorem with the examples