Question

03
(10 marks)
The order of each sub-group of a finite group G is a divisor of the order
of the group G.​

Answer 1

Answer:

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.

Step-by-step explanation:

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