Abstract
Let {ie166-01} be a set of finite groups. A group G is said to be saturated by the groups in {ie166-02} if every finite subgroup of G is contained in a subgroup isomorphic to a member of {ie166-03}. It is proved that a periodic group G saturated by groups in a set {U3(2m) | m = 1, 2, …} is isomorphic to U3(Q) for some locally finite field Q of characteristic 2; in particular, G is locally finite.
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Translated from Algebra i Logika, Vol. 47, No. 3, pp. 288–306, May–June, 2008.
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Lytkina, D.V., Tukhvatullina, L.R. & Filippov, K.A. Periodic groups saturated by finite simple groups U 3(2m). Algebra Logic 47, 166–175 (2008). https://doi.org/10.1007/s10469-008-9011-3
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DOI: https://doi.org/10.1007/s10469-008-9011-3