On groups with given properties of the finite subgroups generated by couples of 2-elements

Lytkina D.V.; Mazurov V.D.

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On groups with given properties of the finite subgroups generated by couples of 2-elements

机译：关于具有由2个元素对生成的有限子组的给定属性的组

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Suppose that every finite subgroup, generated by a couple of 2-elements of a periodic group, is either nilpotent of class 2 or of exponent 4. We prove that the group possesses the normal Sylow 2-subgroup that is either nilpotent of class 2 or of exponent 4.

机译：假设由周期组的两个2个元素生成的每个有限子组要么是2类的幂，要么是4指数。指数4。

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《Siberian Mathematical Journal》 |2013年第1期|共3页
作者
Lytkina D.V.; Mazurov V.D.;
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正文语种 eng
中图分类数学;
关键词
2-Engel group; involution; locally finite group;

机译：2-Engel群;对合;局部有限群;

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专利

1. On groups with given properties of the finite subgroups generated by couples of 2-elements [J] . Lytkina D.V., Mazurov V.D. Siberian Mathematical Journal . 2013,第1期

机译：关于具有由2个元素对生成的有限子组的给定属性的组
2. THE EXPECTED NUMBER OF ELEMENTS TO GENERATE A FINITE GROUP WITH d-GENERATED SYLOW SUBGROUPS [J] . Lucchini Andrea, Moscatiello Mariapia The Rocky Mountain journal of mathematics . 2018,第6期

机译：使用D-Sended Sylow子组生成有限组的预期元素数量
3. A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated [J] . Lucchini Andrea Archiv der Mathematik . 2016,第1期

机译：限制预期数量的随机元素以生成有限组，其所有Sylow子组都是d生成的
4. The S-Quasinormal Embedding Property of Subgroups in a Finite Group [C] . Yang Liying, Wei Huaquan, Li Chengqun 2013 Fourth International Conference on Emerging Intelligent Data and Web Technologies . 2013

机译：有限群中子群的S-拟正规嵌入性质
5. On Finitely Generated Nilpotent Groups and Their Subgroups [D] . Sandor, Bryan. 2017

机译：关于有限生成的幂等子群及其子群
6. Finite Element Investigation of the Effects of the Low-Frequency Vibration Generated by Vehicle Driving on the Human Lumbar Mechanical Properties [O] . Ruo-xun Fan, Jie Liu, Yong-li Li, -1

机译：车辆行驶产生的低频振动对人体腰椎力学性能影响的有限元研究
7. Generating Finite Groups with Maximal Subgroups of Maximal Subgroups [O] . Flavell P. 1995

机译：用最大子群的最大子群生成有限群
8. Thermodynamic Properties of Finite Chains of Exchange-Coupled Atoms [R] . Griffiths, R. B. 1961

机译：交换耦合原子有限链的热力学性质

On groups with given properties of the finite subgroups generated by couples of 2-elements

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