IJPAM: Volume 35, No. 3 (2007)

A PARTICULAR AUTOMORPHISM OF A FINITE GROUP

Abdulrasool Azizi
Department of Mathematics
College of Sciences
Shiraz University
Shiraz, 71454, IRAN
e-mails: a_azizi@yahoo.com, razizi@susc.ac.ir


Abstract.In this paper we will find some properties of an automorphism $f$ of a finite group $G$ such that $f^3$ is the identity automorphism and the equation $f(x)=x$ implies that $x=e.$

Received: May 20, 2005

AMS Subject Classification: 14G15

Key Words and Phrases: group, Sylow subgroup, automorphism of a group

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 3