A non-solvable Galois extension of ramified at 2 only

Autor:	Lassina Dembélé
Rok vydání:	2009
Předmět:	Embedding problem Pure mathematics symbols.namesake Galois cohomology Fundamental theorem of Galois theory Abelian extension Galois group symbols Genus field General Medicine Galois extension Galois module Mathematics
Zdroj:	Comptes Rendus Mathematique. 347:111-116
ISSN:	1631-073X
DOI:	10.1016/j.crma.2008.12.004
Popis:	In this Note, we show the existence of a non-solvable Galois extension of Q which is unramified outside 2. The extension K we construct has degree 2 251 731 094 732 800 = 2 19 ( 3 ⋅ 5 ⋅ 17 ⋅ 257 ) 2 , it has root discriminant δ K 2 47 8 = 58.68 … , and is totally complex. To cite this article: L. Dembele, C. R. Acad. Sci. Paris, Ser. I 347 (2009).
Databáze:	OpenAIRE
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