Question

Prove that order of each subgroup of a finite group is a divisor of the order of the group.
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Answer 1

A rainbow is a meteorological phenomenon that is caused by reflection, refraction and dispersion of light in water droplets resulting in a spectrum of light appearing in the sky. It takes the form of a multicoloured circular arc

Answer 2

Answer:

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Lagrange's Theorem. THEOREM: The order of a subgroup H of group G divides the order of G. Definition: If G is a finite group (or subgroup) then the order of G is the number of elements of G. ... It could have subgroups with 3, 5, 9, or 15 elements since these numbers are all divisors of 45.