Question

For the group Sn of all permutations of n distinct symbols, Sn is an abelian group for all values of n.

(a) True

(b) False

The question was posed to me in a national level competition.

My doubt is from Groups Rings and Fields in division Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

Answer 1

Right answer is (b) False

For explanation I would say: For n>2 it does not form a Abelian Group.