Question
Linear Algebra Question on Groups
Consider the following statements :
I. Every infinite group has infinitely many subgroups.
II. There are only finitely many non-isomorphic groups of a given finite order.
Then
A
both I and II are TRUE
B
I is TRUE but II is FALSE
C
I is FALSE but II is TRUE
D
both I and II are FALSE
Answer
both I and II are TRUE
Explanation
Solution
The correct option is (A) : both I and II are TRUE.