Here is another problem from Lang.(adsbygoogle = window.adsbygoogle || []).push({});

Let G be a finite group. N a normal subgroup. We want to ask what structure must G have in order for all the elements of Aut(G) to send N to N. It is assumed that the order of N is relatively prime to the order of G/N. I have worked on this problem for a while and must be missing something pretty basic.

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# Automorphisms of Finite Groups

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