PRIMITIVE RECURSIVE DECIDABILITY FOR THE RING OF INTEGERS OF THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF Q
Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 291-296

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DOI

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.
JARDEN, MOSHE; RAZON, AHARON. PRIMITIVE RECURSIVE DECIDABILITY FOR THE RING OF INTEGERS OF THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF Q. Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 291-296. doi: 10.1017/S001708952000018X
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     title = {PRIMITIVE {RECURSIVE} {DECIDABILITY} {FOR} {THE} {RING} {OF} {INTEGERS} {OF} {THE} {COMPOSITUM} {OF} {ALL} {SYMMETRIC} {EXTENSIONS} {OF} {Q}},
     journal = {Glasgow mathematical journal},
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     doi = {10.1017/S001708952000018X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708952000018X/}
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