Braid group action via \(\text{GL}_ n(q)\) and \(\text{U}_ n(q)\), and Galois realizations

DOI10.1007/BF02808122zbMath0793.12004MaRDI QIDQ689865

Helmut Voelklein

Publication date: 28 August 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse Galois theorybraid group actionGalois groups of regular extensions

Mathematics Subject Classification ID

Galois theory (11R32) Braid groups; Artin groups (20F36) Inverse Galois theory (12F12)

Related Items

Reduction of the Hurwitz space of metacyclic covers, Resolution of singularities and modular Galois theory, Geometric families of 4-dimensional Galois representations with generically large images, Finite quotients of the pure symplectic braid group, Fake congruence modular curves and subgroups of the modular group, Moduli spaces for covers of the Riemann sphere

Cites Work

• Realisierung von Gruppen \(PSL_ 2({\mathbb{F}}_ p)\) als Galoisgruppen über \({\mathbb{Q}}\)
• \(\mathrm{GL}_n (q)\) as Galois group over the rationals
• Collineation groups generated by homologies of order greater than 2
• Some groups generated by transvections
• Braid group action, embedding problems and the groups PGLn(q), PUn(q2)