Suppose that \( \mathfrak{M} \) is a set whose elements are simple three-dimensional unitary groups U 3(q) and linear groups L 3(q) over finite fields. We prove that a periodic group saturated with groups of \( \mathfrak{M} \) is locally finite and isomorphic to U 3(Q) or L 3(Q) for some locally finite field Q.
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Translated from Algebra i Logika, Vol. 55, No. 4, pp. 441-448, July-August, 2016.
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Lytkina, D.V., Shlepkin, A.A. Periodic Groups Saturated with Finite Simple Groups of Types U 3 and L 3 . Algebra Logic 55, 289–294 (2016). https://doi.org/10.1007/s10469-016-9398-1
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DOI: https://doi.org/10.1007/s10469-016-9398-1