Quasirecognition of One Class of Finite Simple Groups by the Set of Element Orders |
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| Authors: | Alekseeva O. A. Kondrat'ev A. S. |
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| Affiliation: | (1) South Ural State University, Chelyabinsk;(2) Institute of Mathematics and Mechanics, Ekaterinburg |
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| Abstract: | We prove that a finite group, having the same set of element orders as a finite simple group L and the prime graph with at least three connected components, possesses a (unique) nonabelian composition factor which is isomorphic to L, unless L is isomorphic to the alternating group of degree 6. |
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| Keywords: | finite group the set of element orders quasirecognition prime graph |
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