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Characterization of Locally Finite Simple Groups of the Type 3D4 Over Fields of Odd Characteristic in the Class of Periodic Groups

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Abstract

We prove that a periodic group is locally finite, given that each finite subgroup of the group lies in a subgroup isomorphic to a finite simple group of Lie type 3D4 over a field of odd characteristic.

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Correspondence to X. Wei.

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Original Russian Text © 2018 Wei X., Guo W., Lytkina D.V., and Mazurov V.D.

Hefei; Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 5, pp. 1013–1019, September–October, 2018; DOI: 10.17377/smzh.2018.59.506.

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Wei, X., Guo, W., Lytkina, D.V. et al. Characterization of Locally Finite Simple Groups of the Type 3D4 Over Fields of Odd Characteristic in the Class of Periodic Groups. Sib Math J 59, 799–804 (2018). https://doi.org/10.1134/S0037446618050063

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  • DOI: https://doi.org/10.1134/S0037446618050063

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