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More Automorphism Groups of Countable, Arithmetically Saturated Models of Peano Arithmetic
Notre Dame Journal of Formal Logic 59 (4):491-496 (2018)
Abstract
There is an infinite set T of Turing-equivalent completions of Peano Arithmetic such that whenever M and N are nonisomorphic countable, arithmetically saturated models of PA and Th, Th∈T, then Aut≇Aut.Links
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References found in this work
Automorphisms of recursively saturated models of arithmetic.Richard Kaye, Roman Kossak & Henryk Kotlarski - 1991 - Annals of Pure and Applied Logic 55 (1):67-99.
On interstices of countable arithmetically saturated models of Peano arithmetic.Nicholas Bamber & Henryk Kotlarski - 1997 - Mathematical Logic Quarterly 43 (4):525-540.
Automorphism Groups of Arithmetically Saturated Models.Ermek S. Nurkhaidarov - 2006 - Journal of Symbolic Logic 71 (1):203 - 216.
Automorphism Groups of Saturated Models of Peano Arithmetic.Ermek S. Nurkhaidarov & James H. Schmerl - 2014 - Journal of Symbolic Logic 79 (2):561-584.
Automorphism Groups of Countable Arithmetically Saturated Models of Peano Arithmetic.James H. Schmerl - 2015 - Journal of Symbolic Logic 80 (4):1411-1434.
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