THREE S.N. CHERNIKOV'S QUESTIONS

被引：0

作者：

Chernikov, N. S. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, 3 Terecshenkivska Str, UA-01601 Kuiv 4, Ukraine

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2012年 / 18卷 / 03期

关键词：

an FNN-group; a locally nilpotent group; a locally finite group; a locally graded group; a binary graded group;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The author shows: the class of all periodic non-locally finite and non-locally nilpotent FNN-groups is non empty and wide; an arbitrary binary graded (IH) over bar -group is solvable. At the same time, the author solves three natural S.N. Chernikov's questions. Also the author establishes that a non-Chernikov non-abelian group with normal such subgroups is solvable iff it is binary graded.

引用

页码：23 / 25

页数：3

共 50 条

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