Abstract
A finite group G is said to be recognizable by spectrum, i.e., by the set of element orders, if every finite group H having the same spectrum as G is isomorphic to G. We prove that the simple linear groups L n (2k) are recognizable by spectrum for n = 2m ≥ 32.
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Original Russian Text Copyright © 2005 Vasil’ev A. V. and Grechkoseeva M. A.
The authors were supported by the Russian Foundation for Basic Research (Grant 05-01-00797), the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-2069.2003.1), the Program “ Development of the Scientific Potential of Higher School” of the Ministry for Education of the Russian Federation (Grant 8294), the Program “Universities of Russia” (Grant UR.04.01.202), and a grant of the Presidium of the Siberian Branch of the Russian Academy of Sciences (No. 86-197).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 749–758, July–August, 2005.
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Vasil’ev, A.V., Grechkoseeva, M.A. On Recognition by Spectrum of Finite Simple Linear Groups over Fields of Characteristic 2. Sib Math J 46, 593–600 (2005). https://doi.org/10.1007/s11202-005-0060-8
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DOI: https://doi.org/10.1007/s11202-005-0060-8