Finite simple groups with short Galois orbits on conjugacy classes

JOURNAL OF ALGEBRA

卷:544

Article

Bovdi, Victor¹  Breuer, Thomas²  Maroti, Attila³ 

[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

关键词: Integral group ring;    Finite simple group;   

DOI  :  10.1016/j.jalgebra.2019.10.024

来源: Elsevier

【 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.

【 授权许可】

Free