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Embedding problem

In Galois theory, a branch of mathematics, the embedding problem is a generalization of the inverse Galois problem. Roughly speaking, it asks whether a given Galois extension can be embedded into a Galois extension in such a way that the restriction map between the corresponding Galois groups is given.

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Embedding problem

Nodes15
Edges14
Triples52
Avg. degree1.87
Density0.133333
Components1

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Embedding problem

Top relations

related to References · 37
Embedding problem → Brauer Type Embedding Problems, Ergebnisse, Field Arithmetic, Fields Institute Monographs, Folge, Fried, Galois, Galois Theory, Grenzgebiete, Introduction, ISBN, Jarden, Kingston, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Math, Mathematical Monographs, Mathematics, Mathematik
related to Definition · 7
Embedding problem → F/K, Galois, Given, Is, L/K, Let L/K, The
related to Properties · 5
Embedding problem → Finite, Let, The, Then, Theorem
is a · 3
Embedding problem → continuous homomorphism γ, generalization of the inverse Galois problem, generalization of this problem

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embedding galois problem group isbn finite extension groups profinite vol doi mathematics following called problems 10 theory generalization inverse given

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Embedding problemis ageneralization of the inverse Galois problem0.90text
Embedding problemis ageneralization of this problem0.90text
Embedding problemis acontinuous homomorphism γ0.90text
Embedding problemrelated to DefinitionGiven0.60section
Embedding problemrelated to DefinitionGalois0.60section
Embedding problemrelated to DefinitionIs0.60section
Embedding problemrelated to DefinitionF/K0.60section
Embedding problemrelated to DefinitionThe0.60section
Embedding problemrelated to DefinitionLet L/K0.60section
Embedding problemrelated to DefinitionL/K0.60section
Embedding problemrelated to PropertiesFinite0.60section
Embedding problemrelated to PropertiesThe0.60section

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