Answered: Let G be a finite nonabelian group.…

Let G be a finite nonabelian group. Pick (uniformly at random) an element (a,b,c) ∈ G³. What is the probability that a² = b² = c² = 1 in G?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.8: Some Results On Finite Abelian Groups (optional)

Problem 15E: 15. Assume that can be written as the direct sum , where is a cyclic group of order . Prove that...

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Let G be a finite nonabelian group. Pick (uniformly at random) an element (a,b,c) ∈ G³. What is the probability that a² = b² = c² = 1 in G?

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