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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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
@article{10_1017_S001708952000018X,
author = {JARDEN, MOSHE and RAZON, AHARON},
title = {PRIMITIVE {RECURSIVE} {DECIDABILITY} {FOR} {THE} {RING} {OF} {INTEGERS} {OF} {THE} {COMPOSITUM} {OF} {ALL} {SYMMETRIC} {EXTENSIONS} {OF} {Q}},
journal = {Glasgow mathematical journal},
pages = {291--296},
year = {2021},
volume = {63},
number = {2},
doi = {10.1017/S001708952000018X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708952000018X/}
}
TY - JOUR AU - JARDEN, MOSHE AU - RAZON, AHARON TI - PRIMITIVE RECURSIVE DECIDABILITY FOR THE RING OF INTEGERS OF THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF Q JO - Glasgow mathematical journal PY - 2021 SP - 291 EP - 296 VL - 63 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708952000018X/ DO - 10.1017/S001708952000018X ID - 10_1017_S001708952000018X ER -
%0 Journal Article %A JARDEN, MOSHE %A RAZON, AHARON %T PRIMITIVE RECURSIVE DECIDABILITY FOR THE RING OF INTEGERS OF THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF Q %J Glasgow mathematical journal %D 2021 %P 291-296 %V 63 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708952000018X/ %R 10.1017/S001708952000018X %F 10_1017_S001708952000018X
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