- #1
grimster
- 39
- 0
how do i prove that Aut n(K) is isomorphic to the symmetric group Sq^n.
K is a finite field of q elements. Aut n(K) is the group of polynomial automorphisms over K.
n i just the number of variables/indeterminants.
so i guess i have to somehow show that Aut n(K) are the permutations of the elements of K. so i guess i have to do something with the coeficients of a polynomial...
K is a finite field of q elements. Aut n(K) is the group of polynomial automorphisms over K.
n i just the number of variables/indeterminants.
so i guess i have to somehow show that Aut n(K) are the permutations of the elements of K. so i guess i have to do something with the coeficients of a polynomial...