GATE | GATE CS 1996 | Question 29

Which one of the following is false?
(A) The set of all bijective functions on a finite set forms a group under function composition.
(B) The set {1, 2, ………………., p-1} forms a group under multiplication mod p where p is a prime number
(C) The set of all strings over a finite alphabet ∑ forms a group under concatenation
(D) A subset S≠∅ of G is a subgroup of the group if and only if for any pair of element a, b ∈ S, a∗b^−1 ∈ S

Answer: (C)


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