The inverse Galois problem for orthogonal groups

DOI10.1090/btran/124arXiv1409.1151OpenAlexW2283477630MaRDI QIDQ6050839

David Zywina

Publication date: 19 September 2023

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1151

zbMATH Keywords

elliptic curvesLie type groupsregular inverse Galois problem

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Elliptic curves over global fields (11G05) Inverse Galois theory (12F12)

Related Items

Lübeck's classification of representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups

Cites Work

• The inverse Galois problem for \(\mathrm{PSL}_2(\mathbb {F}_p)\)
• Elliptic surfaces with four singular fibres
• Certain orthogonal and symplectic groups as Galois groups over \(\mathbb{Q}\)
• On \(\ell\)-adic representations attached to modular forms
• On a conjecture of Artin and Tate
• The Magma algebra system. I: The user language
• On the construction of Galois extensions of function fields and number fields
• Rigid braid orbits related to PSL\(_2(p^2)\) and some simple groups.
• Motives with exceptional Galois groups and the inverse Galois problem
• Big symplectic or orthogonal monodromy modulo \(\ell\)
• Variation of local systems and parabolic cohomology
• An extension of F. Klein's level concept
• Root numbers and ranks in positive characteristic
• On the spinor norm
• Rational rigidity for
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Park City lectures on elliptic curves over function fields
• The Finite Simple Groups
• Néron Models
• Polynome mit GaloisgruppenPGL₂(p) undPSL₂(p) über
• Galoisrealisierungen klassischer Gruppen
• Les Schémas de Modules de Courbes Elliptiques
• Projective linear groups as Galois groups over \({\mathbb Q}\) via modular representations
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