Abstract
Let G be a finite group and let ω(G) denote the set of the element orders of G. For the simple group PSL5(5) we prove that if G is a finite group with ω(G) = ω(PSL5(5)), then either G ≅ PSL5(5) or G ≅ PSL5(5): 〈θ〉 where θ is a graph automorphism of PSL5(5) of order 2.
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Original Russian Text Copyright © 2008 Darafsheh M. R. and Sadrudini A.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 3, pp. 528–533, May–June, 2008.
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Darafsheh, M.R., Sadrudini, A. A characterization of the simple group PSL5(5) by the set of its element orders. Sib Math J 49, 418–422 (2008). https://doi.org/10.1007/s11202-008-0041-9
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DOI: https://doi.org/10.1007/s11202-008-0041-9