The structure of infinite dimensional linear groups satisfying certain finiteness conditions

被引：0

作者：

Munoz-Escolano, Jose M. ^{[1
]}

Otal, Javier ^{[1
]}

Semko, Nikolaj N. ^{[2
]}

机构：

[1] Univ Zaragoza, Dept Matemat IUMA, Pedro Cerbuna 12, Zaragoza 50009, Spain

[2] Natl State Tax Serv Acad Ukraine, Dept Math, UA-09200 Irpen, Ukraine

来源：

ALGEBRA & DISCRETE MATHEMATICS | 2009年 / 04期

关键词：

Linear group; Minimal; maximal; weak minimal and weak maximal conditions; Central and augmentation dimensions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We review some recent results on the structure of infinite dimensional linear groups satisfying some finiteness conditions on certain families of subgroups. This direction of research is due to Leonid A. Kurdachenko, who developed the main steps of the theory jointly with mathematicians from several countries.

引用

页码：120 / 134

页数：15

共 50 条

[11] The existence of complete functions satisfying certain linear conditions
Polya, G.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1941, 50 (1-3) : 129 - 139
[12] Residual finiteness of certain 2-dimensional Artin groups
Jankiewicz, Kasia
ADVANCES IN MATHEMATICS, 2022, 405
[13] GROUPS WITH CYCLIC SYLOW SUBGROUPS AND FINITENESS CONDITIONS FOR CERTAIN COMPLEXES
MISLIN, G
COMMENTARII MATHEMATICI HELVETICI, 1977, 52 (03) : 373 - 391
[14] On some infinite dimensional linear groups
Kurdachenko, Leonid A.
Sadovnichenko, Alexey V.
Subbotin, Igor Ya.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2009, 7 (02): : 176 - 185
[15] On some infinite dimensional linear groups
Kurdachenko, Leonid A.
NOTE DI MATEMATICA, 2010, 30 : 21 - 36
[16] On some infinite dimensional linear groups
Kurdachenko, LA
Subbotin, IY
COMMUNICATIONS IN ALGEBRA, 2001, 29 (02) : 519 - 527
[17] FINITENESS CONDITIONS FOR GROUPS
RATCLIFFE, JG
JOURNAL OF PURE AND APPLIED ALGEBRA, 1983, 27 (02) : 173 - 185
[18] Groups with Conditions of Finiteness
V. P. Shunkov
Acta Applicandae Mathematica, 2005, 85 : 277 - 283
[19] Groups with conditions of finiteness
Shunkov, VP
ACTA APPLICANDAE MATHEMATICAE, 2005, 85 (1-3) : 277 - 283
[20] Approximate finiteness properties of infinite groups
Stark, CW
TOPOLOGY, 1998, 37 (05) : 1073 - 1088

← 1 2 3 4 5 →