Abstract
Suppose that each finite subgroup of even order of a periodic group containing an element of order 2 lies in a subgroup isomorphic to a simple symplectic group of degree 4 over some finite field of characteristic 2. We prove that in that case the group is isomorphic to a simple symplectic group S 4(Q) over some locally finite field Q of characteristic 2.
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Original Russian Text Copyright © 2017 Lytkina D.V. and Mazurov V.D.
Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 5, pp. 1098–1109, September–October, 2017; DOI: 10.17377/smzh.2017.58.512.
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Lytkina, D.V., Mazurov, V.D. Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups. Sib Math J 58, 850–858 (2017). https://doi.org/10.1134/S0037446617050123
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DOI: https://doi.org/10.1134/S0037446617050123