Consider the multiplicative group ℤ∗8663. a) How many primitive elements does this group have? b) What is the probability that a randomly chosen member of this group is a primitive element?
Consider the multiplicative group ℤ∗8663. a) How many primitive elements does this group have? b) What is the probability that a randomly chosen member of this group is a primitive element?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 38E: Let n be appositive integer, n1. Prove by induction that the set of transpositions...
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Consider the multiplicative group ℤ∗8663.
a) How many primitive elements does this group have?
b) What is the probability that a randomly chosen member of this group is a primitive element?
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