Revisiting the infinite Galois correspondence via group representations

Zhe Chen; Enxin Wu

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arXiv · 2610.29480

Revisiting the infinite Galois correspondence via group representations

Zhe Chen·Enxin Wu

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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.

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Zhe Chen, Enxin Wu. 2026-10-21. Revisiting the infinite Galois correspondence via group representations. https://arxiv.org/abs/2610.29480

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