Composita of symmetric extensions of Q
Geyer WD, Jarden M, Razon A (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 12
Pages Range: 139-161
Journal Issue: 1
DOI: 10.17879/85169760740
Abstract
Let K be a Hilbertian presented field with elimination theory of characteristic not equal 2, let K-symm be the compositum of all symmetric extensions of K, and let K-symm,K-ins be the maximal purely inseparable extension of K-symm. Then, Th(K-symm,K-ins) is a primitive recursive theory. Moreover, the set of finite groups that can be realized as Galois groups over K in K-symm as well as the set of finite groups that occur as Galois groups over K-symm are primitive recursive subsets of the set of all finite groups. Finally, if K is countable, then Gal(K-symm/K) similar or equal to Gal(Q(symm)/Q).
Involved external institutions
Israel (IL)How to cite
APA:
Geyer, W.D., Jarden, M., & Razon, A. (2019). Composita of symmetric extensions of Q. Münster Journal of Mathematics, 12(1), 139-161. https://dx.doi.org/10.17879/85169760740
MLA:
Geyer, Wulf Dieter, Moshe Jarden, and Aharon Razon. "Composita of symmetric extensions of Q." Münster Journal of Mathematics 12.1 (2019): 139-161.
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