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Question: let g be a group a recall that the automorphism...

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Let G be a group. a) Recall that the automorphism cg : G → G, x-gxg-1 is called conjugation with g e G Show that conjugation defines a group action on G by . : G × G → G, g·h hg. b) Show that multiplication from the right, i.e..: Gx G G,g.h hg, is in general not a group action. What could we change to make it a group action?

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