$n$-inner automorphisms of finite groups
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- by Fernando Szechtman
- Proc. Amer. Math. Soc. 131 (2003), 3657-3664
- DOI: https://doi.org/10.1090/S0002-9939-03-06974-0
- Published electronically: February 28, 2003
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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 $n\geq 2$.References
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Bibliographic Information
- Fernando Szechtman
- Affiliation: Department of Pure Mathematics, University of Waterloo, Ontario, Canada N2L 3G1
- Email: fszechtm@herod.uwaterloo.ca
- Received by editor(s): March 6, 2002
- Received by editor(s) in revised form: July 10, 2002
- Published electronically: February 28, 2003
- Communicated by: Stephen D. Smith
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3657-3664
- MSC (2000): Primary 20D45, 20E36
- DOI: https://doi.org/10.1090/S0002-9939-03-06974-0
- MathSciNet review: 1998171