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The periodic groups saturated by finitely many finite simple groups
Authors:D. V. Lytkina  L. R. Tukhvatullina  K. A. Filippov
Affiliation:(1) Novosibirsk State University, Novosibirsk, Russia;(2) Krasnoyarsk Agricultural State University, Krasnoyarsk, Russia
Abstract:Denote by $mathfrak{M}$ the set whose elements are the simple 3-dimensional unitary groups U 3(q) and the linear groups L 3(q) over finite fields. We prove that every periodic group, saturated by the groups of a finite subset of $mathfrak{M}$ , is finite.
Keywords:saturation of a group by a set of groups  periodic group
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