The periodic groups saturated by finitely many finite simple groups |
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Authors: | D. V. Lytkina L. R. Tukhvatullina K. A. Filippov |
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Affiliation: | (1) Novosibirsk State University, Novosibirsk, Russia;(2) Krasnoyarsk Agricultural State University, Krasnoyarsk, Russia |
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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. |
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Keywords: | saturation of a group by a set of groups periodic group |
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