Realisierung von Gruppen \(PSL_ 2({\mathbb{F}}_ p)\) als Galoisgruppen über \({\mathbb{Q}}\)

DOI10.1007/BF01455866zbMath0559.12005OpenAlexW2017091646MaRDI QIDQ802602

B. Heinrich Matzat, Gunter Malle

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164031

zbMATH Keywords

Galois realization\(PSL_ 2({\mathbb{F}}_ p)\)ramification structure

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Galois theory (11R32) Compact Riemann surfaces and uniformization (30F10) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (11)

Polynomials with Galois group \(M_{11}\) over \(\mathbb Q\) ⋮ Polynomials for primitive nonsolvable permutation groups of degree d\(\leq 15\) ⋮ Polynome mit GaloisgruppenPGL₂(p) undPSL₂(p) über ⋮ Braid group action via \(\text{GL}_ n(q)\) and \(\text{U}_ n(q)\), and Galois realizations ⋮ Explicit Galois realization of transitive groups of degree up to 15 ⋮ Multi-parameter polynomials with given Galois group ⋮ Division algebras with \(\text{PSL} (2,q)\)-Galois maximal subfields ⋮ 𝑃𝑆𝐿₂(𝑞) and extensions of 𝐐(𝐱) ⋮ Galois families of modular forms and application to weight one ⋮ Algorithmic Construction of Hurwitz Maps ⋮ \(\mathrm{GL}_n (q)\) as Galois group over the rationals

Cites Work

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• Topologische Automorphismen in der konstruktiven Galoistheorie.
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• Polynomials with galois group psl(2,7)
• Polynomials with galois group PSL(2,11)

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