On the periodic groups saturated by direct products of finite simple groups

被引：0
作者：
Lytkina D.V. [1 ]
机构：
[1] Novosibirsk State University, Novosibirsk
来源：
Siberian Mathematical Journal | 2011年 / 52卷 / 2期
关键词：
group; periodic group; saturated group; simple group;
D O I：
10.1134/S0037446611020108
中图分类号：
学科分类号：
摘要：
We prove the local finiteness of a periodic group G saturated by direct products of an elementary abelian 2-group of fixed order and the simple groups L2(q) under condition that G contains an element of order 4. © 2011 Pleiades Publishing, Ltd.
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页码：267 / 273
页数：6
相关论文
共 16 条
[1]  
Shlepkin A.K., On some periodic groups saturated with finite simple subgroups, Mat. Tr., 1, 1, pp. 129-138, (1998)
[2]  
Shlepkin A.K., On conjugately biprimitively finite groups saturated by finite simple subgroups, Algebra and Logic, 37, 2, pp. 127-138, (1998)
[3]  
Shlepkin A.K., Conjugately biprimitively finite groups saturated with finite simple subgroups U<sub>3</sub>(2<sup>n</sup>), Algebra and Logic, 37, 5, pp. 345-350, (1998)
[4]  
Shlepkin A.K., Sozutov A.I., On some groups with finite involution saturated with finite simple subgroups, Math. Notes, 72, 3, pp. 398-410, (2002)
[5]  
Shlepkin A.K., Rubashkin A.G., Groups saturated by a finite set of groups, Siberian Math. J., 42, 6, pp. 1140-1142, (2004)
[6]  
Shlepkin A.K., Rubashkin A.G., A class of periodic groups, Algebra and Logic, 44, 1, pp. 65-71, (2005)
[7]  
Rubashkin A.G., Filippov K.A., Periodic groups saturated with the groups L<sub>2</sub>(p<sup>n</sup>), Siberian Math. J., 46, 6, pp. 1119-1122, (2005)
[8]  
Lytkina D.V., Mazurov V.D., Periodic groups saturated with L3(2m), Algebra and Logic, 46, 5, pp. 330-340, (2007)
[9]  
Lytkina D.V., Periodic groups saturated by the group U<sub>3</sub>(9), Sib. Electronic Math. Reports, 4, pp. 300-303, (2007)
[10]  
Lytkina D.V., Tukhvatullina L.R., Filippov K.A., The periodic groups saturated by finitely many finite simple groups, Siberian Math. J., 49, 2, pp. 317-321, (2008)
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