On the characterization of Galois extensions
Meinolf Geck
TL;DR
This paper offers a simplified approach to characterizing finite Galois extensions, building on previous ideas to make understanding these extensions more accessible.
Contribution
It introduces a new shortcut for characterizing finite Galois extensions based on earlier work by Sonn and Zassenhaus.
Findings
Simplified characterization method for Galois extensions
Builds on prior theoretical ideas
Enhances understanding of Galois theory
Abstract
We present a shortcut to the familiar characterizations of finite Galois extensions, based on an idea from an earlier Monthly note by Sonn and Zassenhaus.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation