hey, was just hoping i could get a little help getting started on this one....(adsbygoogle = window.adsbygoogle || []).push({});

Let r be an element in U(n). Prove that the mapping (alpha):Zn-->Zn defined by (alpha)(s) = sr mod n for all s in Zn is an automorphism of Zn.

not expecting the answer, maybe to just push me in the right direction...thanks so much

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Automorphisms of Z_n

**Physics Forums | Science Articles, Homework Help, Discussion**