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-inner automorphisms of finite groups
Authors:Fernando Szechtman
Affiliation:Department of Pure Mathematics, University of Waterloo, Ontario, Canada N2L 3G1
Abstract:We refer to an automorphism $g$ of a group $G$ as $n$-inner if given any subset $S$ of $G$ with cardinality less than $n$, there exists an inner automorphism of $G$ agreeing with $g$ on $S$. Hence $g$ is 2-inner if it sends every element of $G$ to a conjugate. New examples are given of outer $n$-inner automorphisms of finite groups for all natural numbers $ngeq 2$.

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