ABOUT THE SCHUR INDEX FOR AMBIVALENT GROUPS

被引：2

作者：

Armeanu, Ion ^{[1
]}

机构：

[1] Univ Bucharest, Dept Theoret Phys & Math, Fac Phys, Bucharest 077125, Romania

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 02期

关键词：

Characters; Group theory; Schur index; CHARACTERS;

D O I：

10.1080/00927872.2012.717436

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An ambivalent group is a finite group all of whose irreducible characters are real valued. By Brauer-Speiser theorem, if G is an ambivalent group, then the absolute Schur index m(Q)()=m() 2. In this note we shall prove that this property is true also for the derived subgroups of ambivalent groups. Also we will prove that there is a relation between the number of conjugacy classes of 2-regular cyclic subgroups of an ambivalent group and the irreducible characters with absolute Schur index 1.

引用

页码：540 / 544

页数：5

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