Almost completely decomposable groups and unbounded representation type

被引：7

作者：

Arnold, David M. ^{[2
]}

Mader, Adolf ^{[1
]}

Mutzbauer, Otto ^{[3
]}

Solak, Ebru ^{[4
]}

机构：

[1] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA

[2] Baylor Univ, Dept Math, Waco, TX 76798 USA

[3] Univ Wurzburg, Math Inst, D-97074 Wurzburg, Germany

[4] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

来源：

JOURNAL OF ALGEBRA | 2012年 / 349卷 / 01期

关键词：

Almost completely decomposable group; Large rank; Indecomposable; Representation; FREE ABELIAN-GROUPS; FINITE RANK;

D O I：

10.1016/j.jalgebra.2011.10.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Almost completely decomposable groups with a regulating regulator and a p-primary regulator quotient are studied. It is shown that there are indecomposable such groups of arbitrarily large rank provided that the critical typeset contains some basic configuration and the exponent of the regulator quotient is sufficiently large. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：50 / 62

页数：13

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