On Central Unit Groups of Integral Group Rings of Alternating Groups

被引：1

作者：

Aleev, R. Zh. ^{[1
]}

Sokolov, V. V. ^{[1
]}

机构：

[1] S Ural State Univ, Chelyabinsk 454080, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2009年 / 267卷

关键词：

group ring; alternating group; central unit; local unit; minimal central idempotent; irreducible character; exponent of group;

D O I：

10.1134/S0081543809070013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The basic aim of this paper is to give a full description of central unit groups of integral group rings of alternating groups in the case when the central unit group has rank 1. The results are obtained in two steps. First, it is proved that the generator of the central unit group is local. Then, its exact value is found.

引用

页码：S1 / S9

页数：9

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