Unitary units in modular group algebras of 2-groups

被引：15

作者：

Bovdi, A ^{[1
]}

Erdei, L ^{[1
]}

机构：

[1] Univ Debrecen, H-4010 Debrecen, Hungary

来源：

COMMUNICATIONS IN ALGEBRA | 2000年 / 28卷 / 02期

关键词：

D O I：

10.1080/00927870008826848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the unitary subgroup V*(F(2)G) in the group algebras F(2)G of a-groups of maximal class over the held F-2 of two elements. We show that there does not exist a normal complement to G in V*(F(2)G) if and only if G is the dihedral group of order 2(n) (n greater than or equal to 5) or the semidihedral group of order 2(n) (n greater than or equal to 5). We also describe V*(F(2)G) when the subgroup G has order 8 and 16 and in this case there exist a normal complement of G in V*(F(2)G).

引用

页码：625 / 630

页数：6