Universal deformation rings and cyclic blocks

被引：28

作者：

Bleher, FM ^{[1
]}

Chinburg, T ^{[1
]}

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

来源：

MATHEMATISCHE ANNALEN | 2000年 / 318卷 / 04期

关键词：

Mathematics Subject Classification (1991): 20C05, 11R32, 13D10, 16G10;

D O I：

10.1007/s002080000148

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we determine the universal deformation rings of certain modular representations of finite groups which belong to cyclic blocks. The representations we consider are those for which every endomorphism is stably equivalent to multiplication by a scalar. We then apply our results to study the counterparts for universal deformation rings of conjectures about embedding problems in Galois theory.

引用

页码：805 / 836

页数：32

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