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PRIMITIVE RECURSIVE DECIDABILITY FOR THE RING OF INTEGERS OF THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF ℚ

Part of: General field theory

Published online by Cambridge University Press:  08 May 2020

MOSHE JARDEN  and
AHARON RAZON
MOSHE JARDEN
Affiliation:
Tel Aviv University, Tel Aviv, Israel, e-mail: jarden@tauex.tau.ac.il
AHARON RAZON
Affiliation:
Elta Systems Ltd, Ashdod, Israel, e-mail: razona@elta.co.il
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Abstract

Let ℚsymm be the compositum of all symmetric extensions of ℚ, i.e., the finite Galois extensions with Galois group isomorphic to Sn for some positive integer n, and let ℤsymm be the ring of integers inside ℚsymm. Then, TH(ℤsymm) is primitive recursively decidable.

MSC classification

Primary: 12E30: Field arithmetic
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 63 , Issue 2 , May 2021 , pp. 291 - 296
Copyright
© The Author(s) 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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Footnotes

In memory of Wulf-Dieter Geyer (1939–2019)

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