If G is a finite group and a ∈ G, prove that |a| is finite. Hint: You just need to show that there exists some positive integer n such that an is the identity
If G is a finite group and a ∈ G, prove that |a| is finite. Hint: You just need to show that there exists some positive integer n such that an is the identity
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.6: Quotient Groups
Problem 20E
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If G is a finite group and a ∈ G, prove that |a| is finite. Hint: You just need to show that there exists some positive integer n such that an is the identity.
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