Abstract
A group G is saturated with groups of the set X if every finite subgroup K≤G is embedded in G into a subgroup L isomorphic to some group of X. We study periodic conjugate biprimitive finite groups saturated with groups in the set {U3(2n)}. It is proved that every such group is isomorphic to a simple group U3(Q) over a locally finite field Q of characteristic 2.
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Supported by the RF State Committee of Higher Education.
Translated fromAlgebra i Logika, Vol. 37, No. 5, pp. 606–615, September–October, 1998.
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Shlyopkin, A.K. Conjugate biprimitive finite groups saturated with finite simple subgroupsU 3(2n). Algebr Logic 37, 345–350 (1998). https://doi.org/10.1007/BF02671635
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DOI: https://doi.org/10.1007/BF02671635