-inner automorphisms of finite groups

Author:
Fernando Szechtman

Journal:
Proc. Amer. Math. Soc. **131** (2003), 3657-3664

MSC (2000):
Primary 20D45, 20E36

Published electronically:
February 28, 2003

MathSciNet review:
1998171

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Abstract | References | Similar Articles | Additional Information

Abstract: We refer to an automorphism of a group as -inner if given any subset of with cardinality less than , there exists an inner automorphism of agreeing with on . Hence is 2-inner if it sends every element of to a conjugate. New examples are given of outer -inner automorphisms of finite groups for all natural numbers .

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Additional Information

**Fernando Szechtman**

Affiliation:
Department of Pure Mathematics, University of Waterloo, Ontario, Canada N2L 3G1

Email:
fszechtm@herod.uwaterloo.ca

DOI:
https://doi.org/10.1090/S0002-9939-03-06974-0

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

Article copyright:
© Copyright 2003
American Mathematical Society