The modular group algebra problem for small p-groups of maximal class

被引：6

作者：

Salim, MAM ^{[1
]}

Sandling, R ^{[1
]}

机构：

[1] UNIV MANCHESTER,DEPT MATH,MANCHESTER M13 9PL,LANCS,ENGLAND

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1996年 / 48卷 / 05期

关键词：

modular group algebra; p-group; isomorphism problem; maximal class;

D O I：

10.4153/CJM-1996-055-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that p-groups of maximal class and order p(5) are determined by their group algebras over the field of p elements. The most important information requisite for the proof is obtained from a detailed study of the unit group of a quotient algebra of the group algebra, larger than the small group algebra.

引用

页码：1064 / 1078

页数：15

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