ON THE PRIMITIVE REPRESENTATIONS OF FINITELY GENERATED METABELIAN GROUPS OF FINITE RANK OVER A FIELD OF NON-ZERO CHARACTERISTIC

被引：0

作者：

Tushev, A., V ^{[1
]}

机构：

[1] Oles Honchar Dnipropetrovsk Natl Univ, 72 Gagarin Ave, UA-49010 Dnepropetrovsk, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2014年 / 6卷 / 02期

关键词：

primitive representations; metabelian groups; rank of groups;

D O I：

10.15330/cmp.6.2.389-393

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider some conditions for imprimitivity of irreducible representations of a metebelian group G of finite rank over a field k. We shoved that in the case where chark - p > 0 these conditions strongly depend on existence of infinite p-sections in G.

引用

页码：389 / 393

页数：5

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