Exercise 6.1.8. Let G be a group and H < Ga cyclic subgroup of G. For any g e G, show gHg¬1 iscyclic.

Let G is a group and H≤G a cyclic subgroup of G. To Show: For any g∈G, gHg-1 is cyclic

Answered: Exercise 6.1.8. Let G be a group and H

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 12E: Prove or disprove that H={ hGh1=h } is a subgroup of the group G if G is abelian.

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