Which of the following group is a non-abelian group? Question 2Answera.(D,*), D= set of all odd integers and a*b=a+b-1,a,b∈Db.H={}c.H={}d. (ℝ)={}

The question seems to be incomplete as options b, c, and d are not defined. However, based on the information given, we can analyze option a.

a. (D,), D= set of all odd integers and ab=a+b-1,a,b∈D

A group is non-abelian if it does not satisfy the commutative property, which states that the result of a operation b should be the same as b operation a.

Let's take two odd integers, say 3 and 5.

According to the operation defined, a*b = a + b - 1

So, 3*5 = 3 + 5 - 1 = 7

And, 5*3 = 5 + 3 - 1 = 7

Since the results are the same, the operation is commutative for this set and this operation. Therefore, this group is not a non-abelian group.

Without the complete information for options b, c, and d, we cannot definitively answer the question. Please provide the complete information for these options.