If group G has 65 elements and it has two subgroups namely K and L with order 14 and 30. What can be order of K intersection L?
If group G has 65 elements and it has two subgroups namely K and L with order 14 and 30. What can be order of K intersection L? Correct Answer 5
As it is an intersection so the order must divide both K and L. Here 3, 6, 30 does not divide 14. But 5 must be the order of the group as it divides the order of intersection of K and L as well as the order of the group.