On the embedding of finite solvable groups

被引：0
|
作者：
Kaur, Gurleen [1 ]
机构：
[1] Indian Inst Sci Educ & Res Mohali, Dept Math Sci, Sect 81, Mohali 140306, Punjab, India
来源：
COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 05期
关键词：
Generalized strongly monomial group; monomial group; rational group algebra; strongly monomial group; CHARACTERS; IDEMPOTENTS;
D O I：
10.1080/00927872.2022.2151610
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 1969, Seitz proved that every finite solvable group can be (isomorphically) embedded in a monomial group with the same derived length (fitting length, supersolvable length). In this paper, it is proved that every finite solvable group can in fact be embedded in a generalized strongly monomial group with the same derived length (fitting length, supersolvable length). This shows the vastness of the class of generalized strongly monomial groups.
引用
收藏
页码：2144 / 2149
页数：6
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