congruence class d'+mZ has order d.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 3E: Find all monic irreducible polynomials of degree 2 over Z3.
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(15) Let G = Z/mZ, let d' be a divisor of m, and let d= m/d'. Prove that the
congruence class d'+mZ has order d.
Transcribed Image Text:(15) Let G = Z/mZ, let d' be a divisor of m, and let d= m/d'. Prove that the congruence class d'+mZ has order d.
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