Simple modules for groups with abelian Sylow 2-subgroups are algebraic

被引：3

作者：

Craven, David A. ^{[1
]}

机构：

[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

JOURNAL OF ALGEBRA | 2009年 / 321卷 / 05期

关键词：

Algebraic module; Abelian defect group; Tensor product; BLOCKS;

D O I：

10.1016/j.jalgebra.2008.11.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An algebraic module is a KG-module that satisfies a polynomial with integer coefficients, with addition and multiplication given by direct Sum and tensor product. In this article we prove that if G is a group with abelian Sylow 2-subgroups and K is a field of characteristic 2, then every simple KG-module is algebraic. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：1473 / 1479

页数：7

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