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
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
相关论文
共 50 条