现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Emmanuel Lecouturier, IMJ-PRG

Inviter:  
Title:
On the class groups of some Kummer extensions
Time & Venue:
2017.11.27 14:00-15:30 N818
Abstract:
Let N and p be prime numbers \ge 5 such that p divides N-1. Calegari and Emerton, using Mazur's theory of the Eisenstein ideal, showed that if \sum_{k=1}^{(N-1)/2} is a p-th power modulo N, then the p-primary part of the class group of Q(N^{1/p}) is not cyclic. We shall give a rather elementary proof of this result, and give more results about this class group and the class group of the cyclotomic eld Q(\zeta_p,\zeta_N). We will make the link between these results and our results on the Eisenstein ideal.
 

 

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接