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Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic
Siberian Advances in Mathematics Pub Date : 2018-08-25 , DOI: 10.3103/s1055134418030033
D. V. Lytkina , A. A. Shlepkin

Let M denote the set of the simple 3-dimensional unitary groups U3 and the simple linear groups L2 over finite fields of odd characteristic.We prove that each periodic group saturated with groups in M is locally finite and isomorphic to either U3(Q) or L2(Q) for a suitable locally finite field Q of odd characteristic.

中文翻译:

在奇特征的有限域上饱和度为2的线性组和度为3的Unit组的周期群

令M表示具有奇特征的有限域上的简单3维unit群U 3和简单线性群L 2的集合。我们证明每个在M中充满了基团的周期群都是局部有限的,并且对于任一U 3Q)或L 2Q)来获得具有奇特性的适当局部有限域Q。
更新日期:2018-08-25
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