Order of products of elements in finite groups

被引：3

作者：

Beltran, Antonio ^{[1
]}

Lyons, Richard ^{[2
]}

Moreto, Alexander ^{[3
]}

Navarro, Gabriel ^{[3
]}

Saez, Azahara ^{[3
]}

Pham Huu Tiep ^{[2
]}

机构：

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

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

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

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2019年 / 99卷 / 02期

关键词：

CHARACTERS;

D O I：

10.1112/jlms.12185

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 x is an element of G, it is an interesting problem to place x in a convenient small (normal) subgroup of G, assuming some knowledge of the order of the products xy, for certain p-elements y of G.

引用

页码：535 / 552

页数：18

共 26 条

[1]

[Anonymous], CHARACTER DEGREES TH

[2]

[Anonymous], 1998, MATH SURVEYS MONOGRA, DOI DOI 10.1090/SURV/040.3

[3]

[Anonymous], 2006, CHARACTER THEORY FIN

[4]

[Anonymous], MEM AM MATH SOC

[5]

Bertram E., 1972, J. Combin. Theory Ser. A, V12, P368, DOI [10.1016/0097-3165(72)90102-1, DOI 10.1016/0097-3165(72)90102-1]

[6]

Carter R., 1993, Finite Groups of Lie Type, Conjugacy classes and complex characters

[7] Answer to a 1962 question by Zappa on cosets of Sylow subgroups [J].

Conder, Marston D. E. .

ADVANCES IN MATHEMATICS, 2017, 313 :167-175

[8]

Digne F., 1991, LONDON MATH SOC STUD

[9] Cosets of Sylow p-subgroups and a question of Richard Taylor [J].

Goldstein, Daniel ;

Guralnick, Robert .

JOURNAL OF ALGEBRA, 2014, 398 :569-573

[10] Commutators in finite simple groups of Lie type [J].

Gow, R .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 :311-315

← 1 2 3 →