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Automorphisms of Models of True Arithmetic: More on Subgroups which Extend to a Maximal One Uniquely

✍ Scribed by Henryk Kotlarski; Bożena Piekart

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 239 KB
Volume: 46
Category: Article
ISSN: 0044-3050
DOI: 10.1002/(sici)1521-3870(200001)46:1<111::aid-malq111>3.0.co;2-e

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✦ Synopsis

Continuing the earlier research in [14] we give some more information about nonmaximal open subgroups of G = Aut(M) with unique maximal extension, where M is a countable recursively saturated model of True Arithmetic.

📜 SIMILAR VOLUMES

Automorphisms of Models of True Arithmet

Automorphisms of Models of True Arithmetic: Subgroups which Extend to a Maximal Subgroup Uniquely

✍ Henryk Kotlarski; Bożena Piekart 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 420 KB

## Abstract We show that if __M__ is a countable recursively saturated model of True Arithmetic, then __G__ = Aut(__M__) has nonmaximal open subgroups with unique extension to a maximal subgroup of Aut(__M__). Mathematics Subject Classification: 03C62, 03C50.