Connecting monomiality questions with the structure of rational group algebras

被引:6
作者
Bakshi, Gurmeet K. [1 ]
Kaur, Gurleen [2 ]
机构
[1] Panjab Univ, Ctr Adv Study Math, Chandigarh 160014, India
[2] Indian Inst Sci Educ & Res Mohali, Dept Math Sci, Sect 81, Mohali 140306, Punjab, India
关键词
Monomial group; Strongly monomial group; Supermonomial group; Generalized strongly monomial; group; CHARACTERS; NILPOTENT; SUBGROUPS; NEED;
D O I
10.1016/j.jpaa.2021.106931
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to show the vastness of the class of generalized strongly monomial groups and the implication of its study on monomiality questions studied by group theorists. The so called generalized strongly monomial groups, which is a generalization of strongly monomial groups introduced by Olivieri, del Rio and Simon, arose in a recent work of authors while understanding the algebraic structure of rational group algebras. (c) 2021 Elsevier B.V. All rights reserved.
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页数:15
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