Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank

O. Yu. Dashkova

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Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank

机译：无限阶可分解的无限维线性群

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摘要

Under study are the solvable nonabelian linear groups of infinite central dimension and sectional p-rank, p ≥ 0, in which all proper nonabelian subgroups of infinite sectional p-rank have finite central dimension. We describe the structure of the groups of this class.

机译：正在研究的是可解决的，具有无限中心尺寸且截面为p-rank的非阿贝尔线性组，其中p≥0，其中所有具有无限截面p-rank的适当非阿贝尔亚子组均具有有限的中心尺寸。我们描述了此类班级的结构。

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《Siberian Mathematical Journal》 |2008年第6期|共11页
作者
O. Yu. Dashkova;
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正文语种 eng
中图分类数学;
关键词
linear group; solvable group; special rank of a group; sectional p-rank of a group; central dimension of a linear group;

机译：线性组;可解组;组的特殊等级;组的截面p级;线性组的中心尺寸;

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专利

1. Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank [J] . O. Yu. Dashkova Siberian Mathematical Journal . 2008,第6期

机译：无限阶可分解的无限维线性群
2. Infinite-dimensional linear groups with restrictions on subgroups that are not soluble A 3-groups [J] . O. Yu. Dashkova Algebra and logic . 2007,第5期

机译：无限维线性基团，对不可溶的A 3基团具有限制
3. Linear groups with rank restrictions on the subgroups of infinite central dimension [J] . Dashkova OY, Dixon MR, Kurdachenko LA Journal of pure and applied algebra . 2007,第3期

机译：在无限中心维数的子组上具有等级限制的线性组
4. Linearly Solvable Stochastic Optimal Control for Infinite-Dimensional Systems [C] . Evangelos A. Theodorou, George I. Boutselis, Kaivalya Bakshi IEEE Conference on Decision and Control . 2018

机译：无限维系统的线性可解随机最优控制
5. Infinite-dimensional algebras in exactly solvable models of strongly correlated electrons and statistical mechanics. [D] . Uglov, Denis. 1995

机译：高度可解的电子和统计力学的精确可解模型中的无限维代数。
6. Hybrid proximal linearized algorithm for the split DC program in infinite-dimensional real Hilbert spaces [O] . Chih-Sheng Chuang, Pei-Jung Yang -1

机译：无限维实希尔伯特空间中分裂DC程序的混合近端线性化算法
7. Linear groups with rank restrictions on the subgroups of infinite central dimension [O] . Yu Dashkova Olga, Dixon Martyn R., Kurdachenko Leonid A. 2007

机译：在无限中心维数的子组上具有等级限制的线性组
8. Infinite-Dimensional Carleman Linearization, the Lie Series, and Optimal Controlof Nonlinear PDES [R] . Banks, S. P. 1990

机译：无限维Carleman线性化，Lie系列和非线性pDEs的最优控制

Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank

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