Recognising tensor products of matrix groups

被引：22

作者：

LeedhamGreen, CR ^{[1
]}

OBrien, EA ^{[1
]}

机构：

[1] UNIV AUCKLAND,DEPT MATH,AUCKLAND,NEW ZEALAND

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 1997年 / 7卷 / 05期

关键词：

D O I：

10.1142/S0218196797000241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As a contribution to the project for recognising matrix groups defined over finite fields, we describe an algorithm for deciding whether or not the natural module for such a matrix group can be decomposed into a non-trivial tensor product. in the affirmative case, a tensor decomposition is returned. As one component, we develop algorithms to compute p-local subgroups of a matrix group.

引用

页码：541 / 559

页数：19

共 20 条

[1]

Adams W.W., 1994, GRADUATE STUDIES MAT, V3

[2] ON THE MAXIMAL-SUBGROUPS OF THE FINITE CLASSICAL-GROUPS [J].