Notre Dame Journal of Formal Logic 57 (1):127-139 (2016)

Abstract
In this paper we discuss automorphism groups of saturated models and boundedly saturated models of $\mathsf{PA}$. We show that there are saturated models of $\mathsf{PA}$ of the same cardinality with nonisomorphic automorphism groups. We then show that every saturated model of $\mathsf{PA}$ has short saturated elementary cuts with nonisomorphic automorphism groups.
Keywords saturation   bounded saturation   automorphism groups   models of Peano Arithmetic
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DOI 10.1215/00294527-3339587
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References found in this work BETA

Models and Types of Peano's Arithmetic.Haim Gaifman - 1976 - Annals of Mathematical Logic 9 (3):223-306.
The Intersection of Nonstandard Models of Arithmetic.Andreas Blass - 1972 - Journal of Symbolic Logic 37 (1):103-106.

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