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This paper contains an application of Langlands’ functoriality principle to the following classical problem: which finite groups, in particular which simple groups appear as Galois groups over $ℚ$ ? Let $ℓ$ be a prime and $t$ a positive integer. We show that that the finite simple groups of Lie type $B_{n} (ℓ^{k}) = 3 D S O_{2 n + 1} {(𝔽_{ℓ^{k}})}^{d e r}$ if $ℓ \equiv 3, 5 (mod 8)$ and $G_{2} (ℓ^{k})$ appear as Galois groups over $ℚ$ , for some $k$ divisible by $t$ . In particular, for each of the two Lie types and fixed $ℓ$ we construct infinitely many Galois groups but we do not have a precise control...

Displaying 61 – 69 of 69

From p-rigid elements to valuations (with a Galois-characterization of p-adic fields).

Frontières analytiques dans le disque unité d'un corps valué non archimédien complet et algébriquement clos

Function Fileds of Pfister Forms.

Functional equations stemming from numerical analysis [Book]

Functions without residue and a bilinear differential equation

Functoriality and the Inverse Galois problem II: groups of type $B_{n}$ and $G_{2}$

Fundamental theorems of analysis in formally real fields.

Funktionenkörper mit isomorphen absoluten Galoisgruppen.

Fuzzy subfields.

Currently displaying 61 – 69 of 69