Embeddings into absolutely solvable groups

被引：0
|
作者：
Szabo, Edit [1 ]
机构：
[1] Univ Debrecen, Inst Math, Dept Algebra & Number Theory, H-4010 Debrecen, Hungary
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2006年 / 69卷 / 03期
关键词：
solvable group; chief series; absolutely irreducible representation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that every solvable group can be embedded as a subgroup into an absolutely solvable group. However, we construct solvable groups that cannot be embedded as subnormal subgroups into absolutely solvable groups.
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页码：401 / 409
页数：9
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