Subgroups of the adjoint group of a radical ring

被引：13

作者：

Amberg, B ^{[1
]}

Dickenschied, O

Sysak, YP

机构：

[1] Univ Mainz, Fachbereich Math, Dept Math, D-55099 Mainz, Germany

[2] Ukrainian Acad Sci, Inst Math, UA-252601 Kiev, Ukraine

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1998年 / 50卷 / 01期

关键词：

D O I：

10.4153/CJM-1998-001-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the adjoint group R-o of an arbitrary radical ring R has a series with abelian factors and that its finite subgroups are nilpotent. Moreover, some criteria for subgroups of R-o to be locally nilpotent are given.

引用

页码：3 / 15

页数：13

共 15 条

[1] ON THE ADJOINT GROUP OF A RADICAL RING
AMBERG, B
DICKENSCHIED, O
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1995, 38 (03): : 262 - 270
[2] Amberg B., 1992, Products of Groups
[3] AMBERG B, 1995, P GROUPS KOR 1994, P8
[4] [Anonymous], 1990, IZV AKAD NAUK SSSR M
[5] BROWN KA, 1982, J LOND MATH SOC, V26, P425
[6] Jacobson N., 1964, AM MATH SOC C PUBL, V37
[7] WEAK MAXIMALITY CONDITION AND POLYCYCLIC GROUPS
KIM, YK
RHEMTULLA, AH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (03) : 711 - 714
[8] APPLICATIONS OF A NEW K-THEORETIC THEOREM TO SOLUBLE GROUP-RINGS
KROPHOLLER, PH
LINNELL, PA
MOODY, JA
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 104 (03) : 675 - 684
[9] NEROSLAVSKII OM, 1973, VESCI AKAD NAVUK FMN, V134, P5
[10] Robinson D. J. S., 1972, Finiteness Conditions and Generalized Soluble Groups, V62

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