Question

According to Lagrange's Theorem, the order of a subgroup H of a finite group G is:

Question 2Answer

a.
Equal to the order of G


b.
A divisor of the order of G


c.
Not related to the order of G


d.
A multiple of the order of G

Answer 1

According to Lagrange's Theorem, the order of a subgroup \( H \) of a finite group \( G \) is:

**b. A divisor of the order of G**

Lagrange's Theorem states that the order of any subgroup of a finite group divides the order of the group itself.