Polynomials with Galois Groups Aut(M 22 ), M 22 , and PSL 3 (\BbbF 4 ) ⋅2 2 Over \BbbQ

DOI10.2307/2008777zbMath0699.12036OpenAlexW2024131427MaRDI QIDQ3476929

Gunter Malle

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2307/2008777

zbMATH Keywords

Galois groupssystem of nonlinear algebraic equationsBuchberger algorithminfinite families of polynomials

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Separable extensions, Galois theory (12F10) Special polynomials in general fields (12E10) Software, source code, etc. for problems pertaining to field theory (12-04)

Related Items (7)

Lightly ramified number fields with Galois group \(S.M_{12}.A\) ⋮ Realizations of unisingular representations by hyperelliptic Jacobians ⋮ Computation of Hurwitz spaces and new explicit polynomials for almost simple Galois groups ⋮ PGL2(𝔽ℓ) number fields with rational companion forms ⋮ Computation of Belyi maps with prescribed ramification and applications in Galois theory ⋮ Covering groups of \(M_{22}\) as regular Galois groups over \(\mathbb{Q} \) ⋮ Certain orthogonal and symplectic groups as Galois groups over \(\mathbb{Q}\)

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