Question
Mathematics Question on Vector space
Which one of the following statements is wrong.
A
The centre of a group G is a subgroup of G.
B
The union of two subgroups is always a subgroup.
C
If G is a finite group and H is a subgroup of G then o(H) divides o(G).
D
HK is a subgroup of G iff HK = KH.
Answer
The union of two subgroups is always a subgroup.
Explanation
Solution
The correct answer is(B): The union of two subgroups is always a subgroup.