ON UNITARY SUBGROUPS OF GROUP ALGEBRAS

被引：5

作者：

Balogh, Zsolt Adam ^{[1
]}

机构：

[1] United Arab Emirates Univ UAEU, Dept Math Sci, Al Ain, U Arab Emirates

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2021年 / 29卷

关键词：

Group ring; group of units; unitary subgroup;

D O I：

10.24330/ieja.852199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let FG be the group algebra of a finite p-group G over a finite field F of characteristic p and let * be the classical involution of FG. The *-unitary subgroup of FG, denoted by V-*(FG), is defined to be the set of all normalized units u satisfying the property u(*) = u(-1). In this paper we give a recursive method how to compute the order of the *-unitary subgroup for certain noncommutative group algebras. A variant of the modular isomorphism question of group algebras is also considered.

引用

页码：187 / 198

页数：12

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