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Aut(H)≅Aut(G)
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Given a finite group G G, we denote by Aut(G) the group automorphisms of G . Which finite groups G can be characterized by the group Aut(G), i.e. Aut(H)=Aut≅Aut(G) implies H≅G?

Given a finite group G, we denote by Aut(G) the group automorphisms of G . Which finite groups G can be characterized by the group Aut(G), i.e. Aut(H)=Aut(G) implies H≅G?

Given a finite group G, we denote by Aut(G) the group automorphisms of G . Which finite groups G can be characterized by the group Aut(G), i.e. Aut(H)≅Aut(G) implies H≅G?

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Todd Trimble
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Finite in the question but cyclic in the title.
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Which cyclicfinite groups can be characterized by their automorphism groups?

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