Set Theory/Cycles

Question

Is there anyway/notation of taking a finite set lets say A={1,4,8,2} and turning it into cycle form where order matters for example?

$B= \begin{pmatrix} 1 & 2 & 3 & 4\\ 1 & 4 & 8 & 2 \end{pmatrix}$

I know, that's what makes it so hard! I'm trying to identify particular elements from the set though. I am wanting some kind of notation where I could transfer a set into a function where order matters. — W. G., Oct 03 '16 at 18:50

score 1 · Accepted Answer · answered Oct 03 '16 at 19:29

1

You can always write the pairing explicitly: $$ \{ \{1,1\}, \{2,4\}, \{3,8\}, \{4,2\} \} $$

answered Oct 03 '16 at 19:29

lhf

1 Answers1