On exceptional pq-groups
On exceptional pq-groups作者机构:Institute of MathematicsPolish Academy of SciencesWarsaw PL-00-956Poland College of MathematicsQingdao UniversityQingdao 266071China
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2012年第55卷第10期
页 面:2081-2093页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:supported by National Natural Science Foundation of China (Grant No. 10871106)
主 题:Brauer-Kuroda relation exceptional group pq-group
摘 要:A finite group G is called exceptional if for a Galois extension F/k of number fields with the Galois group G,in the Brauer-Kuroda relation of the Dedekind zeta functions of fields between k and F,the zeta function of F does not *** the present paper we describe effectively all exceptional groups of orders divisible by exactly two prime numbers p and q,which have unique subgroups of orders p and q.