AUTOMORPHISM GROUPS OF SATURATED MODELS OF PEANO ARITHMETIC

被引：3

作者：

Nurkhaidarov, Ermek S. ^{[1
]}

Schmerl, James H. ^{[2
]}

机构：

[1] Penn State Univ Mont Alto, Mont Alto, PA 17237 USA

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

JOURNAL OF SYMBOLIC LOGIC | 2014年 / 79卷 / 02期

关键词：

Peano arithmetic; saturated models; automorphism groups; SMALL INDEX PROPERTY;

D O I：

10.1017/jsl.2013.15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let kappa be the cardinality of some saturated model of Peano Arithmetic. There is a set of 2(aleph 0) saturated models of PA, each having cardinality kappa, such that whenever M and N are two distinct models from this set, then Aut(M) not congruent to Aut(N).

引用

页码：561 / 584

页数：24

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