Abstract
We prove that the Carter subgroups of a finite group are conjugate if so are the Carter subgroups of the group of induced automorphisms for every nonabelian composition factor.
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References
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Original Russian Text Copyright © 2006 Vdovin E. P.
The author was supported by the Russian Foundation for Basic Research (Grant 05-01-00797), a grant of the President of the Russian Federation for Junior Scientists (Grant MK-1455.2005.1), and the Siberian Division of the Russian Academy of Sciences (a grant No. 29 for the Junior Scientists and the Integration Project 2006.1.2).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 725–730, July–August, 2006.
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Vdovin, E.P. On the Conjugacy problem for Carter subgroups. Sib Math J 47, 597–600 (2006). https://doi.org/10.1007/s11202-006-0071-0
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DOI: https://doi.org/10.1007/s11202-006-0071-0