SYLOW SUBGROUPS, EXPONENTS, AND CHARACTER VALUES

被引：13

作者：

Navarro, Gabriel ^{[1
]}

Pham Huu Tiep ^{[2
]}

机构：

[1] Univ Valencia, Dept Matemat, E-46100 Valencia, Spain

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 372卷 / 06期

关键词：

Character tables; Sylow subgroups; McKay conjecture;

D O I：

10.1090/tran/7816

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If G is a finite group, p is a prime, and P is a Sylow p-subgroup of G, we study how the exponent of the abelian group P/P' is affected and how it affects the values of the complex characters of G. This is related to Brauer's Problem 12. Exactly how this is done is one of the last unsolved consequences of the McKay-Galois conjecture.

引用

页码：4263 / 4291

页数：29

共 24 条

[1] NILPOTENT AND ABELIAN HALL SUBGROUPS IN FINITE GROUPS [J].

Beltran, Antonio ;

Jose Felipe, Maria ;

Malle, Gunter ;

Moreto, Alexander ;

Navarro, Gabriel ;

Sanus, Lucia ;

Solomon, Ronald ;

Tiep, Pham Huu .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (04) :2497-2513

[2]

Brauer R., 1963, LECT MODERN MATH, VI, P133

[3]

Carter R., 1985, FINITE GROUPS LIE TY

[4]

Digne F., 1991, London Mathematical Society Student Texts, V21

[5]

GORENSTEIN D, 1983, MEM AM MATH SOC, V42, P1

[6]

Gorenstein D., 1998, Mathematical Surveys and Monographs, V40

[7]

Hoffman P. N., 1992, OXFORD MATH MONOGRAP

[8]

Huppert B., 1967, GRUND MATH WISS, V134

[9]

Isaacs I. Martin, 2006, CHARACTER THEORY FIN

[10] Characters of p′-degree of p-solvable groups [J].

Isaacs, IM ;

Navarro, G .

JOURNAL OF ALGEBRA, 2001, 246 (01) :394-413

← 1 2 3 →