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Automorphism Groups of Some Finite Groups

Li Shi

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Abstract

Let G be a group of odd order In this paper we prove that G cannot function as the full automorphism group of a finite group when G has a small order.

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Let G be a group of odd order In this paper we prove that G cannot function as the full automorphism group of a finite group when G has a small order.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Let G be a group of odd order In this paper we prove that G cannot function as the full automorphism group of a finite group when G has a small order.

Key concepts: Inner automorphism, Mathematics, Automorphism, p-group, Outer automorphism group, Group (periodic table), Order (exchange), Automorphism group

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