Exercises |

E:Prove, by considering suitable actions, the following facts:

" n ÎN^{*}: å_{d | n}f(d)=n." prime p: (p-1)! º-1 (p) (Wilson)." z Î.Z,p prime, n ÎN^{*}: z^{(pn)}ºz^{(pn-1)}(p^{n})" z ÎZ,n ÎN^{*}such that gcd (z,n)=1: z^{ f(n)}º1 (n) (Euler).

harald.fripertinger@kfunigraz.ac.at,

last changed: August 28, 2001

Exercises |