On geometric embedding problems and semiabelian groups

DOI10.1007/BF02567989zbMath0836.12002OpenAlexW2074316477MaRDI QIDQ1345758

Ralf Dentzer

Publication date: 12 March 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156049

zbMATH Keywords

finite solvable groupsGalois groupinverse Galois problemFrattini subgrouprational function fieldsemiabelian groupirreducible groupsregular Galois extensions

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12) Representations of groups as automorphism groups of algebraic systems (20F29) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Minimal ramification and the inverse Galois problem over the rational function field \(\mathbb{F}_p(t)\) ⋮ On semiabelian \(p\)-groups.

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extensions régulières de \({\mathbb{Q}}(T)\) de groupe de Galois \(\tilde A_ n\). (Regular extensions of \({\mathbb{Q}}(T)\) with Galois group \(\tilde A_ n)\)
• Zur Existenz eigentlicher galoisscher Körper beim Einbettungsproblem für galoissche Algebren
• Konstruktive Galoistheorie. (Constructive Galois theory)
• Generic Galois extensions and problems in field theory
• Central extension of \(S_n\) as Galois groups of regular extensions of \(\mathbb{Q}(T)\)
• Extensions de corps hilberteins
• On reduction ofp-groups
• Explicit Classifications of Some 2-Extensions of a Field of Characteristic Different from 2
• Zum Einbettungsproblem.
• Endliche Gruppen I
• Zwei Reduktionssätze zum Einbettungsproblem für abelsche Algebren

This page was built for publication: On geometric embedding problems and semiabelian groups