Let 9,n be antegers wth 2n and ged (a,n)=1. Show tht of U(Z.) ={a*+nZ:tez} then o#1 mod 6) for all KE{t,...,p6)-1} where p 9s Euler function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 1E
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Let a,n be antegers with 2<n and gcd (a,n)=1. Show that of
U(Z.)={a*+nZ;tEz}
then o#1 mod (6) for all KE{4,...4G)-1s where p 9s Euler
function.
Transcribed Image Text:Let a,n be antegers with 2<n and gcd (a,n)=1. Show that of U(Z.)={a*+nZ;tEz} then o#1 mod (6) for all KE{4,...4G)-1s where p 9s Euler function.
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