Question

1.
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

Explanation:

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.

Answer 2

Answer:

I swore to save fire form the sin of forgerfulness