Let G be a defimed by is a group action. group and A= G. Show a*X = ANA' , aXE G that *

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.7: Direct Sums (optional)
Problem 14E: 14. Let be an abelian group of order where and are relatively prime. If and , prove that .
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this question is from course group theory 2 kindly solve this

Let G be a and A= G. Show
group
that * defined by axx = AxA"!, as XE G
action.
%3D
is a group
Transcribed Image Text:Let G be a and A= G. Show group that * defined by axx = AxA"!, as XE G action. %3D is a group
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