Relative minimality and co-minimality of subgroups in topological groups

Dikran Dikranjan; Michael Megrelishvili

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Relative minimality and co-minimality of subgroups in topological groups

机译：拓扑组中子组的相对最小和协最小

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摘要

We study two properties of subgroups of a topological group (relative minimality and co-minimality), that generalize minimality. Many applications, mostly related to semidirect products and generalized Heisenberg groups are given.

机译：我们研究了拓扑组的子组的两个属性（相对极小值和共同极小值），它们概括了极小值。给出了许多与半直接乘积和广义Heisenberg群有关的应用。

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来源
《Topology and its applications》 |2010年第1期|62-76|共15页
作者
Dikran Dikranjan; Michael Megrelishvili;
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作者单位

Department of Mathematics, Udine University, 33100 Udine, Italy;

Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel;

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正文语种 eng
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关键词
heisenberg group; minimal group; relatively minimal subgroup; Co-minimal subgroup;

机译：海森堡集团最小人数相对最小的亚组;最小子组;

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2. On subgroups of minimal topological groups [J] . Vladimir V. Uspenskij Topology and its applications . 2008,第14期

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3. Finite groups with some minimal subgroups are H C-subgroups [J] . Wei Xianbiao Journal of algebra and its applications . 2019,第5期

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4. FUZZY COSETS OF FUZZY SUBGROUPS RELATIVE TO FUZZY SUBGROUPS [C] . LAN SHU, ZHAOHAO WANG International FLINS conference . 2012

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6. Minimal Cross-Cut Subgroups Relative to the Product of Their Orders [O] . G. A. Miller 1940

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7. Relative minimality and co-minimality of subgroups in topological groups [O] . Dikranjan Dikran, Megrelishvili Michael 2010

机译：拓扑组中子组的相对最小和协最小

Relative minimality and co-minimality of subgroups in topological groups

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