Abstract algebra and construction problems (Q2773579)

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scientific article; zbMATH DE number 1710213
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Abstract algebra and construction problems
scientific article; zbMATH DE number 1710213

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    24 February 2002
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    Galois extension
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    compass-and-ruler construction problems
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    Abstract algebra and construction problems (English)
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    The authors show how basic ideas of abstract algebra appear in the classical geometric compass-and-ruler construction problems. They discuss solvability of the classical problems, discuss general methods for their solution, and give examples illustrating the above methods. NEWLINENEWLINENEWLINEThe article is based on a lecture given by the author for secondary school teachers in the framework of the ``International Soros Science Educational Program'' and is aimed at presenting contemporary developments in mathematics on an elementary level understandable for secondary school teachers and pupils.
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