Symmetric groups are determined by their character degrees

被引：19

作者：

Tong-Viet, Hung P. ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

来源：

JOURNAL OF ALGEBRA | 2011年 / 334卷 / 01期

关键词：

Character degrees; Symmetric groups; REPRESENTATIONS;

D O I：

10.1016/j.jalgebra.2010.11.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. Let X(1)(G) be the first column of the ordinary character table of G. In this paper, we will show that if X(1) (G) = X(1) (S(n)), then G congruent to S(n.) As a consequence, we show that S, is uniquely determined by the structure of the complex group algebra CS(n). (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：275 / 284

页数：10

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