Suppose that phi (x) belongs to Aut (Zn) and a is relatively prime to n. If phi (a)=b, determine a formula for phi (x). (So far I am able to determine that both a and b are generators of Zn, but I'm not sure what to do next. Thanks!)
Suppose that phi (x) belongs to Aut (Zn) and a is relatively prime to n. If phi (a)=b, determine a formula for phi (x). (So far I am able to determine that both a and b are generators of Zn, but I'm not sure what to do next. Thanks!)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Suppose that phi (x) belongs to Aut (Zn) and a is relatively prime to n. If phi (a)=b, determine a formula for phi (x).
(So far I am able to determine that both a and b are generators of Zn, but I'm not sure what to do next. Thanks!)
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