The Galois Connection between IntermediateFields(E,F) and Subgroups of Aut(E,F)
Abstract
In this article we establish the Galois connection between the intermediate fields of an extension E over F and the subgroups of the automorphism group Aut(E, F ). We show that if E is a finite Galois extension of F , then this connection induces a bijection between all intermediate fields of E and F and all subgroups of Aut(E, F ).
Language: English
Page range: 1 - 8
Submitted on: Jul 9, 2025
Accepted on: Jan 24, 2026
Published on: Jun 13, 2026
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2026 Christoph Schwarzweller, published by University of Białystok
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