RESTRICTING IRREDUCIBLE CHARACTERS TO SYLOW p-SUBGROUPS

被引：9

作者：

Giannelli, Eugenio ^{[1
]}

Navarro, Gabriel ^{[2
]}

机构：

[1] Univ Cambridge, Trinity Hall,Trinity Lane, Cambridge CB2 1TJ, England

[2] Univ Valencia, Dept Math, E-46100 Valencia, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 05期

关键词：

Character restriction; Sylow subgroups; symmetric groups; VERTICES;

D O I：

10.1090/proc/13970

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We restrict irreducible characters of finite groups of degree divisible by p to their Sylow p-subgroups and study the number of linear constituents.

引用

页码：1963 / 1976

页数：14

共 15 条

[1]

[Anonymous], 1981, Encyclopedia of Mathematics and its Applications

[2] STRENGTHENED THEORY OF VERTICES AND SOURCES [J].

BURRY, DW .

JOURNAL OF ALGEBRA, 1979, 59 (02) :330-344

[3] Characters of odd degree of symmetric groups [J].

Giannelli, Eugenio .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2017, 96 :1-14

[4] On the restriction of irreducible characters of symmetric groups to Sylow p-subgroups [J].

Giannelli, Eugenio .

JOURNAL OF ALGEBRA, 2017, 483 :37-57

[5]

Isaacs I. M., 2006, CHARACTER THEORY FIN, DOI DOI 10.1090/CHEL/359

[6]

Isaacs I. Martin, 2006, CHARACTER THEORY FIN

[7]

James G. D., 1978, LECT NOTES MATH, V682

[8] Quasi-isolated blocks and Brauer's height zero conjecture [J].

Kessar, Radha ;

Malle, Gunter .

ANNALS OF MATHEMATICS, 2013, 178 (01) :321-384

[9] VERTICES OF IRREDUCIBLE MODULES [J].

KNORR, R .

ANNALS OF MATHEMATICS, 1979, 110 (03) :487-499

[10] Zeros of characters of finite groups [J].

Malle, G ;

Navarro, G ;

Olsson, JB .

JOURNAL OF GROUP THEORY, 2000, 3 (04) :353-368

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