Live briefing
Everything about 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. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Embedding problemA 5-minute orientation
- Skim a recent paper: Novelty Evaluation using Sentence Embedding Models in Open-ended Cocreative Problem-solvingInfluential work since 2022
- Pick up a classic book: Designing Embedded Systems with the SIGNAL Programming LanguageThe most-reprinted book on the subject
- Read the landmark paper: Economic Action and Social Structure: The Problem of EmbeddednessCited 20,047 times
- Go sideways: Profinite groupA closely related topic
- Go sideways: Semiabelian groupA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Economic Action and Social Structure: The Problem of Embeddedness
The Skorokhod embedding problem and its offspring
Embedding as a modeling problem
Connes' embedding problem and Tsirelson's problem
The LCAO approach to the embedding problem
On Kirchberg's embedding problem
The embedding problem for predistance matrices
Solution to König's Graph Embedding Problem
🆕 Influential since 2022
Novelty Evaluation using Sentence Embedding Models in Open-ended Cocreative Problem-solving
A hybrid recommendation technique using topic embedding for rating prediction and to handle cold-start problem
The embedding problem for Markov matrices
The Connes embedding problem: A guided tour
Addressing the minor-embedding problem in quantum annealing and evaluating state-of-the-art algorithm performance
📚 Books worth reading
Designing Embedded Systems with the SIGNAL Programming LanguageAbdoulaye Gamatié · 2010- 📕Contribution to the optimal shape design of two-dimensional internal flows with embedded shocksAngelo Iollo · 1995
Cryptographic Hardware and Embedded Systems -- CHES 2013Guido Marco Bertoni, Jean-Sébastien Coron · 2013- 📕Existence, uniqueness and validation of parameter imbedding equations for nonlinear Fredholm integral equationsMichael E Lord · 1979
- 📕Existence, uniqueness and validation of parameter imbedding equations for nonlinear Fredholm integral equationsMichael E. Lord · 1979
Vesovye funkt͡s︡ionalʹnye prostranstva i spektr different͡s︡ialʹnykh operatorovK. T. Mynbaev · 1988
Technologies For Systems Integration Revised Selected PapersJurgen Becker · 2011
Cryptographic Hardware and Embedded Systems – CHES 2012Emmanuel Prouff · 2012
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Profinite group In mathematics, a profinite group is a topological group that is in a certain sense assembled from a system of finite groups. The idea of using a profinite…
- Semiabelian group Semiabelian groups are a class of groups first introduced by Thompson (1984) and named by Matzat (1987). It appears in Galois theory, in the study of the…
- Field arithmetic In mathematics, field arithmetic is a subject that studies the interrelations between arithmetic properties of a field and its absolute Galois group. It…
- Absolute Galois group In mathematics, particularly in anabelian geometry and p-adic geometry, the absolute Galois group GK of a field K is the Galois group of Ksep over K, where…
- Fundamental theorem of Galois theory In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions in relation to groups…
- Iwasawa theory In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields. It began as a Galois module theory…
- Ramification group In number theory, more specifically in local class field theory, the ramification groups are a filtration of the Galois group of a local field extension…
- Galois representation In mathematics, a Galois module is a G-module, with G being the Galois group (named for Évariste Galois) of some extension of fields. The term Galois representa…