On orbits of automorphism groups II |
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| Authors: | Marian Deaconescu Gary L. Walls |
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| Affiliation: | (1) Department of MCS, Kuwait University, P. O. Box 5969, Safat, 13060, Kuwait;(2) Department of Mathematics, Southeastern Louisiana University, Hammond, LA, 70403, U.S.A. |
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| Abstract: | Let G be a finite group, let A be a group of automorphisms of G and let CG(A) denote the subgroup of fixed points of A in G. If the order of CG(A) is coprime to the number of orbits of A in G, then CG(A) is contained in the autocommutator subgroup [G, A]. The notion of class-avoiding automorphism is used to extend theorems of J. Thompson and P. Rowley. Received: 3 November 2008, Revised: 1 December 2008 |
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| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). 20D45 |
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