Questions tagged [galois-theory]

The study of connections between field theory and group theory through the idea of Galois groups and further concepts.

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Why did Jordan introduce his canonical form?

Camille Jordan's famous canonical form for matrices over algebraically closed fields, is considered an important result nowadays, commonly taught to all students of mathematics in undergraduate linear ...
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Who is the first to give the proof of insolvability of quintic functions using Galois theory?

The first correct proof of the insolvability of the quintic is due to Abel. But my question is who gave the proof of insolvability of the quintic using Galois theory? Does Abel know about Galois ...