Finite Groups in Which Every 3-Maximal Subgroup Commutes with All Maximal Subgroups

Wen-Bin Guo; E. V. Legchekova; A. N. Skiba

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Finite Groups in Which Every 3-Maximal Subgroup Commutes with All Maximal Subgroups

机译：每个3个最大子群与所有最大子群通勤的有限群

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摘要

The structure of finite groups in which every 3-maximal subgroup commutes with all maximal subgroups is described.

机译：描述了有限组的结构，其中每个3个最大子组与所有最大子组交换。

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来源
《Mathematical notes 》 |2009年第4期| 325-332| 共8页
作者
Wen-Bin Guo; E. V. Legchekova; A. N. Skiba;
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作者单位

Xuzhou Normal University, China;

Belarussian Trade-Economic University of Consumer Cooperation;

Skorina State University, Gomel;

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正文语种 eng
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关键词
finite group; maximal subgroup; 3-maximal subgroup; nilpotent subgroup; com mutation subgroup; solvable and supersolvable group; simple group;

机译：有限群最大子组3个最大子组;无能子群com突变亚组;可溶和超可溶基团;简单组;

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专利

1. THE STRUCTURE OF FINITE NON-NILPOTENT GROUPS IN WHICH EVERY 2-MAXIMAL SUBGROUP PERMUTES WITH ALL 3-MAXIMAL SUBGROUPS [J] . Wenbin Guo, Helena V. Legchekova, Alexander N. Skiba Communications in algebra . 2009 ,第7期

机译：每个2极大子群与所有3极大子群置换的有限非零群的结构
2. The Structure of Finite Non-Nilpotent Groups in Which Every 2-Maximal Subgroup Permutes with all 3-Maximal Subgroups [J] . Wenbin Guoa* Helena V. Legchekovab amp, Alexander N. Skibab Communications in Algebra . 2009 ,第7期

机译：每个2-最大子群与所有3-最大子群置换的有限非幂等群的结构
3. Finite biprimary groups with all 3-maximal subgroups -subnormal [J] . Kovaleva V. A., Yi X. Acta mathematica Hungarica . 2015 ,第1期

机译：具有所有3-最大子组的有限二元组-次正规
4. Influence of Z-permutable of Maximal Subgroups of Sylow Subgroups of Finite Groups [C] . Xu Yong, Wu Dan, Zhang Xinjian 2012 Fifth International Joint Conference on Computational Sciences and Optimization . 2012

机译：有限群Sylow子群的最大子群的Z置换的影响
5. Properties of hyperbolic groups: Free normal subgroups, quasiconvex subgroups and actions of maximal growth. [D] . Chaynikov, Vladimir V. 2012

机译：双曲组的特性：自由的正常子组，拟凸子组和最大生长作用。
6. Maximal Subgroups of a Finite Group [O] . G. A. Miller 1941

机译：有限群的最大子群
7. Finite groups with all 3-maximal subgroups K-U-subnormal [O] . Yi, Xiaolan, Kovaleva, Viktoria A. 2014

机译：具有所有3个最大子群的有限群K-U-次正规

Finite Groups in Which Every 3-Maximal Subgroup Commutes with All Maximal Subgroups

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