On Orbits of Automorphism Groups |
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| Authors: | M Deaconescu G L Walls |
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| Institution: | (1) Kuwait University, Safat, Kuwait;(2) West Texas A&M University, Canyon, Texas, USA |
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| Abstract: | If G is a finite group and if A is a group of automorphisms of G whose fixed point subgroup is C
G
(A) then every subgroup F of C
G
(A) acts on the set of orbits of A in G. The peculiarities of this action are used here to derive several results on the number of orbits of A in an economical manner.Original Russian Text Copyright © 2005 Deaconescu M. and Walls G. L.__________Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 3, pp. 533–537, May–June, 2005. |
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| Keywords: | finite groups automorphism orbits group actions stabilizers |
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