NILPOTENT AND ABELIAN HALL SUBGROUPS IN FINITE GROUPS

被引：18

作者：

Beltran, Antonio ^{[1
]}

Jose Felipe, Maria ^{[2
]}

Malle, Gunter ^{[3
]}

Moreto, Alexander ^{[4
]}

Navarro, Gabriel ^{[4
]}

Sanus, Lucia ^{[4
]}

Solomon, Ronald ^{[5
]}

Tiep, Pham Huu ^{[6
]}

机构：

[1] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain

[3] TU Kaiserslautern, FB Math, Postfach 3049, D-67653 Kaiserslautern, Germany

[4] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain

[5] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[6] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 368卷 / 04期

基金：

美国国家科学基金会;

关键词：

SYLOW;

D O I：

10.1090/tran/6381

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a characterization of the finite groups having nilpotent or abelian Hall pi-subgroups that can easily be verified using the character table.

引用

页码：2497 / 2513

页数：17

共 18 条

[1]

Brauer R., 1963, Lectures on Modern Mathematics, V1, P133

[2] GENERIC SYLOW THEOREMS FOR REDUCTIVE GROUPS OVER FINITE-FIELDS [J].

BROUE, M ;

MALLE, G .

MATHEMATISCHE ANNALEN, 1992, 292 (02) :241-262

[3]

Carter Roger W., 1985, PURE APPL MATH

[4]

Deriziotis D. I., 1984, VORLESUNGEN FACHBERE, V11

[5]

Gorenstein Daniel, 1980, FINITE GROUPS

[6]

Gorenstein Daniel, 1983, MEM AM MATH SOC, V42, DOI [10.1090/memo/0276.MR690900, DOI 10.1090/MEMO/0276]

[7]

Gorenstein Daniel, 1994, MATH SURVEYS MONOGRA, V40

[8]

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

[9]

Isaacs I. Martin, 2006, CHARACTER THEORY FIN

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

Kessar, Radha ;

Malle, Gunter .

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

← 1 2 →