Characterization of locally compact groups by closed totally disconnected subgroups

被引：1

作者：

Kadri, Bilel ^{[1
]}

机构：

[1] Sfax Univ, Sfax Preparatory Engn Inst, Dept Math, Sfax 3018, Tunisia

来源：

MONATSHEFTE FUR MATHEMATIK | 2022年 / 199卷 / 02期

关键词：

Locally compact group; Lie group; Solenoid; Totally disconnected subgroup; Cocompact subgroup; TOPOLOGICAL GROUP;

D O I：

10.1007/s00605-021-01653-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to provide various characterizations of locally compact groups in terms of their closed totally disconnected subgroups. Furthermore, many generalizations of structure theorems are established.

引用

页码：301 / 313

页数：13

共 50 条

[1] Characterization of locally compact groups by closed totally disconnected subgroups
Bilel Kadri
[J]. Monatshefte für Mathematik, 2022, 199 : 301 - 313
[2] Locally compact groups approximable by totally disconnected subgroups
Bilel Kadri
[J]. Monatshefte für Mathematik, 2021, 196 : 505 - 518
[3] On tidy subgroups of locally compact totally disconnected groups
Previts, WH
Wu, TS
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 65 (03) : 485 - 490
[4] Locally compact groups with totally disconnected space of subgroups
Hamrouni, Hatem
Kadri, Bilel
[J]. JOURNAL OF GROUP THEORY, 2019, 22 (01) : 119 - 132
[5] Locally compact groups approximable by totally disconnected subgroups
Kadri, Bilel
[J]. MONATSHEFTE FUR MATHEMATIK, 2021, 196 (03): : 505 - 518
[6] Notes on tidy subgroups of locally compact totally disconnected groups
Previts, W. H.
Wu, T. S.
[J]. Topology Proceedings, Vol 28, No 2, 2004, 2004, 28 (02): : 647 - 654
[7] Totally disconnected locally compact groups with just infinite locally normal subgroups
Colin D. Reid
[J]. Israel Journal of Mathematics, 2024, 259 : 461 - 502
[8] Totally disconnected locally compact groups with just infinite locally normal subgroups
Reid, Colin D.
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2024, 259 (01) : 461 - 502
[9] The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups
George A. Willis
[J]. Mathematische Annalen, 2015, 361 : 403 - 442
[10] The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups
Willis, George A.
[J]. MATHEMATISCHE ANNALEN, 2015, 361 (1-2) : 403 - 442

← 1 2 3 4 5 →