Work

Revisiting the infinite Galois correspondence via group representations

Year: 2026

Type: preprint

Abstract: Inspired by Lenstra's infinite normal basis theorem, we interpret the Galois correspondence as a special case of a simple general principle in harmonic analysis on profinite groups. This also gives a representation-theoretic characterisation of profinite groups.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.29480

Authors: Chen, Zhe, Wu, Enxin

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223248510

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