Prosoluble subgroups of free profinite products

被引：0

作者：

Zalesskii, Pavel ^{[1
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

FORUM OF MATHEMATICS SIGMA | 2024年 / 12卷

关键词：

PROSOLVABLE SUBGROUPS;

D O I：

10.1017/fms.2024.92

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe finitely generated and second countable prosoluble subgroups of free profinite products. We also give a description of relatively projective prosoluble groups.

引用

页数：15

共 50 条

[41] Closed subgroups of profinite groups
Segal, D
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2000, 81 : 29 - 54
[42] SUBGROUPS OF AMALGAMATED FREE PRODUCTS
ORDMAN, ET
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1971, 69 (JAN): : 13 - &
[43] FINITE INDEX SUBGROUPS AND VERBAL SUBGROUPS IN PROFINITE GROUPS
Wilson, John S.
ASTERISQUE, 2011, (339) : 387 - +
[44] SUBGROUPS OF AMALGAMATED FREE PRODUCTS
ORDMAN, ET
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 76 (02) : 358 - &
[45] On certain closed normal subgroups of free profinite groups of countably infinite rank
Ohtani, S
COMMUNICATIONS IN ALGEBRA, 2004, 32 (08) : 3257 - 3262
[46] Two generator subgroups of free products with commuting subgroups
Fine, B
Rosenberger, G
Weidmann, R
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 172 (2-3) : 193 - 204
[47] SUBGROUPS OF FREE PRODUCTS WITH AMALGAMATED SUBGROUPS - TOPOLOGICAL APPROACH
CHIPMAN, JC
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 181 (JUL) : 77 - 87
[48] Intersecting free subgroups in free products of groups
Ivanov, SV
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2001, 11 (03) : 281 - 290
[49] On the intersection of free subgroups in free products of groups
Dicks, Warren
Ivanov, S. V.
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2008, 144 : 511 - 534
[50] Free subgroups of free products and combinatorial hypermaps
Ciobanu, Laura
Kolpakov, Alexander
DISCRETE MATHEMATICS, 2019, 342 (05) : 1415 - 1433

← 1 2 3 4 5 →