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26. If (G, .) is a group such that a2 = e, ∀ a ∈ G, then G is
semi group
abelian group
non-abelian group
none of these
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27. The inverse of - i in the multiplicative group,{1, - 1,i,- i } is
1
-1
i
-i
28. The set of integers Z with the binary operation "1" defined as a*b =a +b+1 for a, b ∈ Z, is a group. The identity element of this group is
0
12
29. In the group (G, .), the value of (a-1 b)-1 is
ab-1
b-1a
a-1b
ba-1
30. The identity element in the group given below with respect to matrix multiplication is
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