RATIONALITY AND SYLOW 2-SUBGROUPS

被引：7

作者：

Navarro, Gabriel ^{[1
]}

Tent, Joan ^{[1
]}

机构：

[1] Univ Valencia, Fac Matemat, Dept Algebra, E-46100 Valencia, Spain

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2010年 / 53卷

关键词：

rational characters; rational classes; characters; PI-SEPARABLE GROUPS; FINITE-GROUPS; IRREDUCIBLE CHARACTERS; CONJUGACY CLASSES; CORRESPONDENCES; VALUES; FIELDS;

D O I：

10.1017/S0013091509000868

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. If G has a cyclic Sylow 2-subgroup, then G has the same number of irreducible rational-valued characters as of rational conjugacy classes. These numbers need not be the same even if G has Klein Sylow 2-subgroups and a normal 2-complement.

引用

页码：787 / 798

页数：12

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