Abstract
We prove that alternating groups with three prime graph components are uniquely determined by the set of orders of maximal abelian subgroups.
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References
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Original Russian Text Copyright © 2006 Chen G.
The author was supported by the NSFC Excellent Teachers Supporting Project (Grant 10171074), NSF of Chongqing (CSTC: 2005BB8096), and the Sino-Russian Exchange Project of Natural Sciences.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 3, pp. 718–721, May–June, 2006.
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Chen, G. A characterization of alternating groups by the set of orders of maximal abelian subgroups. Sib Math J 47, 594–596 (2006). https://doi.org/10.1007/s11202-006-0070-1
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DOI: https://doi.org/10.1007/s11202-006-0070-1