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AUTOMORPHISM GROUPS OF SATURATED MODELS OF PEANO ARITHMETIC

Published online by Cambridge University Press:  25 June 2014

ERMEK S. NURKHAIDAROV  and
JAMES H. SCHMERL
ERMEK S. NURKHAIDAROV
Affiliation:
PENNSYLVANIA STATE UNIVERSITY, MONT ALTO, 1 CAMPUS DR., MONT ALTO, PA 17237E-mail: esn1@psu.edu
JAMES H. SCHMERL
Affiliation:
DEPARTMENT OF MATHEMATICS, UNIVERSITY OF CONNECTICUT STORRS, CT 06269-3009E-mail: james.schmerl@uconn.edu
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Abstract

Let κ 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 κ, such that whenever M and N are two distinct models from this set, then Aut(${\cal M}$) ≇ Aut ($${\cal N}$$).

Keywords

Peano arithmeticsaturated modelsautomorphism groups
Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 2 , June 2014 , pp. 561 - 584
Copyright
Copyright © The Association for Symbolic Logic 2014 

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