Groups with subnormality for all subgroups that are not finitely generated.

被引：30

作者：

Heineken, H

Kurdachenko, LA

机构：

[1] UNIV WURZBURG,W-8700 WURZBURG,GERMANY

[2] DNEPROPETROVSK STATE UNIV,DNEPROPETROVSK,UKRAINE

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1995年 / 169卷

关键词：

D O I：

10.1007/BF01759354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the groups given in the title in the case of locally finite, locally nilpotent and radical groups.

引用

页码：203 / 232

页数：30

共 24 条

[1] Cernikov, 1967, UKRAIN MATH J, V19, P111
[2] HALL P, 1988, COLLECTED WORKS P HA
[3] DUAL APPROACH TO CERNIKOV MODULES
HARTLEY, B
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1977, 82 (SEP) : 215 - 239
[4] SPLITTING OVER NILPOTENT AND HYPERCENTRAL RESIDUALS
HARTLEY, B
TOMKINSON, MJ
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 78 (SEP) : 215 - 226
[5] A GROUP WITH TRIVIAL CENTRE SATISFYING NORMALIZER CONDITION
HEINEKEN, H
MOHAMED, IJ
[J]. JOURNAL OF ALGEBRA, 1968, 10 (03) : 368 - &
[6] Kargapolov M. I., 1982, FUNDAMENTALS GROUP T
[7] KEGEL OH, 1973, LOCALLY FINITE GROUP
[8] KURDACHENKO LA, 1975, SIBERIAN MATH J, V16, P1205
[9] Lennox J.C., 1987, SUBNORMAL SUBGROUPS
[10] SOLVABILITY OF GROUPS WHOSE SUBGROUPS ARE ALL SUBNORMAL
MOHRES, W
[J]. ARCHIV DER MATHEMATIK, 1990, 54 (03) : 232 - 235