On irreducible characters of the group S-n that are semiproportional on A(n) or S-n\ A(n). VII

被引：0

作者：

Belonogov, V. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Phys Mat Sci, Moscow, Russia

[2] Russian Acad Sci, Ural Branch, Inst Math & Mech, Moscow, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2011年 / 17卷 / 01期

关键词：

symmetric groups; alternating groups; irreducible characters; semiproportionality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The proof of Hypothesis A, which was introduced in the first paper with the same title, was carried out in the previous six papers of the series and is completed in the present paper. As a consequence of this hypothesis, the following theorem is obtained: the alternating group An for any natural n has no pairs of semiproportional irreducible characters. The suggestion about the validity of this theorem was first formulated in the author's paper in 2004.

引用

页码：3 / 16

页数：14