Finite rank and pseudofinite groups

被引：1

作者：

Palacin, Daniel ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Einstein Inst Math, IL-9190401 Givat Ram, Israel

来源：

JOURNAL OF GROUP THEORY | 2018年 / 21卷 / 04期

基金：

欧洲研究理事会;

关键词：

D O I：

10.1515/jgth-2018-0007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proven that an infinite finitely generated group cannot be elementarily equivalent to an ultraproduct of finite groups of a given Prufer rank. Furthermore, it is shown that an infinite finitely generated group of finite Prufer rank is not pseudofinite.

引用

页码：583 / 591

页数：9

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