Axiomatization of abelian-by-G groups for a finite group G

被引：2

作者：

Oger, F ^{[1
]}

机构：

[1] Univ Paris 07, CNRS, Equipe Log Math, F-75251 Paris 05, France

来源：

ARCHIVE FOR MATHEMATICAL LOGIC | 2001年 / 40卷 / 07期

关键词：

Mathematics Subject Classification (2000): 20A05 (03C60, 16G70, 20F22);

D O I：

10.1007/s001530100084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, for each finite group G, there exists an axiomatization of the class of abelian-by-G groups with a single sentence. In the proof, we use the definability of the subgroup, M-n in an abelian-by-finite group M, and the Auslander-Reiten sequences for modules over an Artin algebra.

引用

页码：515 / 521

页数：7