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Algorithmic Algebra and Number Theory
This note surveys recent developments in the problem of computing Galois groups. Galois theory stands at the cradle of modern algebra and interacts with many areas of mathematics. The problem of determining Galois groups therefore is of interest not only from the point of view of number theory (for example see the article  in this volume), but leads to many questions in other areas of mathematics. An example is its application in computer algebra when simplifying radical expressions  .doi:10.1007/978-3-642-59932-3_4 dblp:conf/aant/Hulpke97 fatcat:bdb7xrmorndjjpucr3wc227opa