Free subgroups in division rings generated by group rings of soluble groups

被引：4

作者：

Goncalves, Jairo Z. ^{[1
]}

Lichtman, A. I. ^{[2
]}

机构：

[1] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo, Brazil

[2] Univ Wisconsin Parkside, Dept Math, Kenosha, WI 53144 USA

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2014年 / 24卷 / 08期

基金：

巴西圣保罗研究基金会;

关键词：

Division rings; free groups; soluble groups; group rings;

D O I：

10.1142/S0218196714500490

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study free subgroups in the multiplicative group of division rings generated by group rings of some classes of soluble groups.

引用

页码：1127 / 1140

页数：14

共 10 条

[1] COMMUTATOR SUBGROUPS OF FREE GROUPS [J].

AUSLANDER, M ;

LYNDON, RC .

AMERICAN JOURNAL OF MATHEMATICS, 1955, 77 (04) :929-931

[2] Free products of units in algebras.: II.: Crossed products [J].

Gonçalves, JZ ;

Mandel, A ;

Shirvani, M .

JOURNAL OF ALGEBRA, 2000, 233 (02) :567-593

[3] Linear groups and group rings [J].

Gonçalves, JZ ;

Passman, DS .

JOURNAL OF ALGEBRA, 2006, 295 (01) :94-118

[4]

La Harpe P., 2000, CHICAGO LECT NOTES

[5]

Lichtman A. I., 1989, CONT MATH, V93, P247

[6] Valuation methods in group rings and in skew fields, I [J].

Lichtman, AI .

JOURNAL OF ALGEBRA, 2002, 257 (01) :106-167

[7] EMBEDDING OF GROUP RINGS IN DIVISION RINGS [J].

LICHTMAN, AI .

ISRAEL JOURNAL OF MATHEMATICS, 1976, 23 (3-4) :288-297

[8]

Neumann H., 1967, VARIETIES GROUPS

[9]

Passman D.S., 1982, GLASGOW MATH J, V23, P103

[10]

Smirnov D. M., 1965, MAT SBORNIK, V67, P365

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