Modules of Constant Jordan Type with One Non-Projective Block

被引：12

作者：

Benson, David J. ^{[1
]}

机构：

[1] Univ Aberdeen, Dept Math, Aberdeen AB24 3UE, Scotland

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2010年 / 13卷 / 03期

关键词：

Modules of constant Jordan type; Finite dimensional kG-module; Elementary abelian p-groups; Shifted subgroups;

D O I：

10.1007/s10468-008-9124-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be an algebraically closed field of characteristic p and G be a finite group of p-rank at least two. We prove that there cannot exist a finite dimensional kG-module of stable constant Jordan type [a] with 2 a parts per thousand currency signaEuro parts per thousand a a parts per thousand currency signaEuro parts per thousand p -aEuro parts per thousand 2. This is a generalisation of a conjecture of Carlson, Friedlander and Pevtsova.

引用

页码：315 / 318

页数：4