i just learnt about some simple group theory
would like to seek for answer on some questions i have on the symmetric group ( had questions about it on exercise but was not formally taught)..
what exactly is a symmetric group?
can anyone help give an example of the bijection in a symmetric group?
is it supposed to be a function?
explain and proof maybe why a symmetric group has order n! ?
and if possible provide any references for beginners?
Thank you very much...