2. Suppose that a and b are primitive root modulo an odd prime p. Show that ab is not a primitive root mod p.
2. Suppose that a and b are primitive root modulo an odd prime p. Show that ab is not a primitive root mod p.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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[Number Theory] How do you solve question 2? The second picture is for definitions.
Additional information:
- We say that a group G is abelian if its elements commute, that is, gh = hg for all g, h in G
- Un is an abelian group under multiplication mod (n)
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