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Let G be a group and let g G. Show that the mapping ф : G given by ф(x) gxg is an automorphism of G. Any such automorphism, o

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Now (Here, e ie the identity of ) 9J9 ) (a ts a group. So, associativib holds Cx). So, φ is a homo morphism ouw we wll proveo we will pmve eurfechivit we know h is a goup, 3o it is clased s closC berefore, sor al c x e a we have 3*g eà (aready g I X

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