On Nilpotent Group Actions on the Characters of Solvable Groups

被引：5

作者：

Yang, Yong ^{[1
,2
]}

机构：

[1] Texas State Univ, Dept Math, 601 Univ Dr, San Marcos, TX 78666 USA

[2] Chongqing Univ Arts & Sci, Key Lab Grp & Graph Theories & Applicat, Chongqing 402160, Peoples R China

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2020年 / 23卷 / 01期

关键词：

Nilpotent groups; Solvable groups; Group actions; Irreducible characters; ORBITS;

D O I：

10.1007/s10468-018-9834-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if a nilpotent group A acts coprimely on a solvable group G, then A has a "large" orbit in its corresponding action on the set of ordinary complex irreducible characters of G.

引用

页码：1 / 6

页数：6

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