Question
Linear Algebra Question on Groups
Which of the following statements is/are TRUE ?
A
The additive group of real numbers is isomorphic to the multiplicative group of positive real numbers
B
The multiplicative group of nonzero real numbers is isomorphic to the multiplicative group of nonzero complex numbers
C
The additive group of real numbers is isomorphic to the multiplicative group of nonzero complex numbers
D
The additive group of real numbers is isomorphic to the additive group of rational numbers
Answer
The additive group of real numbers is isomorphic to the multiplicative group of positive real numbers
Explanation
Solution
The correct option is (A) : The additive group of real numbers is isomorphic to the multiplicative group of positive real numbers.