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
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.
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页码:787 / 798
页数:12
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