Rational rigidity and the sporadic groups
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Publication:1079594
DOI10.1016/0021-8693(86)90047-5zbMath0598.12005OpenAlexW1988852580MaRDI QIDQ1079594
Publication date: 1986
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(86)90047-5
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Galois theory (11R32) Inverse Galois theory (12F12) Representations of groups as automorphism groups of algebraic systems (20F29)
Related Items (12)
Spécialisation des revêtements en caractéristique p> 0 ⋮ Realization of sporadic simple groups as Galois groups over cyclotomic fields. ⋮ Classifying the finite simple groups ⋮ Monodromy and sporadic groups ⋮ Some sporadic groups as Galois groups ⋮ Some Galois groups over number fields ⋮ Frattini-Einbettungsprobleme über Hilbertkörpern. (Frattini embedding problems over Hilbert fields) ⋮ Covering groups of almost simple groups as Galois groups over \(\mathbb{Q}^{ab}(t)\) ⋮ 𝑃𝑆𝐿₂(𝑞) and extensions of 𝐐(𝐱) ⋮ Some sporadic groups as Galois groups. II ⋮ Zum Einbettungsproblem der algebraischen Zahlentheorie mit nicht abelschem Kern ⋮ Realisierung endlicher Gruppen als Galoisgruppen. (Realization of finite groups as Galois groups)
Cites Work
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- The maximal subgroups of Conway's group. 2
- The maximal subgroups of Conway's group \(Co_ 1\)
- The complex Leech lattice and maximal subgroups of the Suzuki group
- Some finite groups which appear as Gal L/K, where \(K\subseteq {\mathbb{Q}}(\mu _ n)\)
- Finite groups generated by 3-transpositions. I
- The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
- Maximal subgroups of the Hall-Janko-Wales group
- The subgroup structure of the Higman-Sims simple group
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