GATE 2009

Question 1

Which one of the following in NOT necessarily a property of a Group?

A	Commutativity
B	Associativity
C	Existence of inverse for every element
D	Existence of identity

Question 1 Explanation:

A Group should satisfy Closure, Associative, should have identity element and each element has inverse.
So, commutativity is not required.

Correct Answer: A

Question 1 Explanation:

A Group should satisfy Closure, Associative, should have identity element and each element has inverse.
So, commutativity is not required.