1) I have heard of permutations before. Is there any way you could go through some examples of applications of permutations? As far as I understand, it is just a bijective function, but does it only apply to groups instead of to rings (which we are used to working with)? With groups we just have stars because it isn't necessarily adding and multiplying like we are used to? Are we just defining an operation?
I know that order can refer to the power in a polynomial. Is cardinality of a set just a different meaning of the word order, or are they related in some way?
I'm not sure I totally understand what a symmetric group is.
2) Could we consider some of the ciphers that we did in cryptography as permutations?
No comments:
Post a Comment