2011Journal of Shandong UniversityRequires access

On central automorphisms and class-preserving automorphisms of finite groups

Zhengxing Li

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Abstract

Connections between class-preserving automorphisms and central automorphisms of finite groups are established.Some sufficient conditions for class-preserving automorphisms of finite p-groups to be inner automorphisms are obtained by means of certain properties of central automorphisms.

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What this paper is about

Connections between class-preserving automorphisms and central automorphisms of finite groups are established.Some sufficient conditions for class-preserving automorphisms of finite p-groups to be inner automorphisms are obtained by means of certain properties of central automorphisms.

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Available abstract

Connections between class-preserving automorphisms and central automorphisms of finite groups are established.Some sufficient conditions for class-preserving automorphisms of finite p-groups to be inner automorphisms are obtained by means of certain properties of central automorphisms.

Key concepts: Automorphism, Automorphisms of the symmetric and alternating groups, Mathematics, Class (philosophy), Pure mathematics, Group (periodic table), Physics, Computer science

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