GATE 2017 [Set1]
October 14, 2023GATE 2007
October 14, 2023GATE 2007
Question 21

How many different nonisomorphic Abelian groups of order 4 are there?
2


3


4


5

Question 21 Explanation:
In this problem first of all we find the exponents of prime nos. that can be taken out from given number.
4 = 2^{2}
So, prime no. is 2 and power of 2 is 2. So exponent value 2 is considered now.
Now the no. of ways we can divide 2 into sets will be the answer.
So division can be done as,
{1,1}, {0,2}
in two ways. Hence, answer is 2.
4 = 2^{2}
So, prime no. is 2 and power of 2 is 2. So exponent value 2 is considered now.
Now the no. of ways we can divide 2 into sets will be the answer.
So division can be done as,
{1,1}, {0,2}
in two ways. Hence, answer is 2.
Correct Answer: A
Question 21 Explanation:
In this problem first of all we find the exponents of prime nos. that can be taken out from given number.
4 = 2^{2}
So, prime no. is 2 and power of 2 is 2. So exponent value 2 is considered now.
Now the no. of ways we can divide 2 into sets will be the answer.
So division can be done as,
{1,1}, {0,2}
in two ways. Hence, answer is 2.
4 = 2^{2}
So, prime no. is 2 and power of 2 is 2. So exponent value 2 is considered now.
Now the no. of ways we can divide 2 into sets will be the answer.
So division can be done as,
{1,1}, {0,2}
in two ways. Hence, answer is 2.
Subscribe
Login
0 Comments