Suppose a is a primitive root modulo n. Prove that the set{a, a², ...,a»)}is the set of all invertible integers in a complete residue system modulo n.

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Suppose a is a primitive root modulo n. Prove that the set {a, a², ... ,a*(n)} is the set of all invertible integers in a complete residue system modulo n.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose a is a primitive root modulo n. Prove that the set
{a, a², ...,a»)}
is the set of all invertible integers in a complete residue system modulo n.

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