Finite simple groups with short Galois orbits on conjugacy classes

被引：3

作者：

Bovdi, Victor ^{[1
]}

Breuer, Thomas ^{[2
]}

Maroti, Attila ^{[3
]}

机构：

[1] UAEU, Dept Math Sci, Al Ain, U Arab Emirates

[2] Rhein Westfal TH Aachen, Lehrstuhl D Math, D-52065 Aachen, Germany

[3] Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary

来源：

JOURNAL OF ALGEBRA | 2020年 / 544卷

基金：

欧洲研究理事会;

关键词：

Integral group ring; Finite simple group; GROUP-RINGS; NUMBER; ELEMENTS; BOUNDS;

D O I：

10.1016/j.jalgebra.2019.10.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups G for which the normalized group of central units of the integral group ring ZG is an infinite cyclic group. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：151 / 169

页数：19

共 33 条

[1] On semi-rational finite simple groups [J].

Alavi, Seyed Hassan ;

Daneshkhah, Ashraf .

MONATSHEFTE FUR MATHEMATIK, 2017, 184 (02) :175-184

[2]

Aleev R. Z., 1994, INT J ALGEBR COMPUT, V4, P309

[3]

Aleev R.Z., 2000, THESIS, P355

[4]

Aleev R.Z., 2001, ALGEBRA TOPOLOGY S2, pS1

[5]

Aleev R. Zh., 1999, IZV VYSSH UCHEBN ZAV, P81

[6]

Aleev R. Zh, 2010, J MATH SCI, V164, P163

[7]

Aleev RZ, 1999, DOKL AKAD NAUK+, V369, P151

[8]

[Anonymous], 2009, Graduate Texts in Mathematics

[9]

Artamonov V. A., 1989, ALGEBRA TOPOLOGY GEO, V27, P3

[10] ON THE NUMBER OF p-REGULAR ELEMENTS IN FINITE SIMPLE GROUPS [J].

Babai, Laszlo ;

Palfy, Peter P. ;

Saxl, Jan .

LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2009, 12 :82-119

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