The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups

被引：3

作者：

Nett, Daniel ^{[1
]}

Noeske, Felix ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Math D, D-52056 Aachen, Germany

来源：

JOURNAL OF GROUP THEORY | 2011年 / 14卷 / 03期

关键词：

PROJECTIVE-REPRESENTATIONS; MULLINEUX CONJECTURE; MAXIMAL-SUBGROUPS;

D O I：

10.1515/JGT.2010.066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using combinatorics and character theory, we determine the imprimitive faithful complex characters, i.e., the irreducible faithful complex characters which are induced from proper subgroups, of the Schur covers of the symmetric and alternating groups. Furthermore, for every imprimitive character we establish all its minimal block stabilizers. As a corollary, we also determine the monomial faithful characters of the Schur covers.

引用

页码：413 / 435

页数：23

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