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Revisiting the infinite Galois correspondence via group representations
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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BibTeX
@misc{chen2026revisiting,
title = {{Revisiting the infinite Galois correspondence via group representations}},
author = {Zhe Chen and Enxin Wu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29480},
eprint = {2610.29480},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29480},
}
RIS
TY - UNPB
TI - Revisiting the infinite Galois correspondence via group representations
AU - Zhe Chen
AU - Enxin Wu
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29480
UR - https://arxiv.org/abs/2610.29480
AB - 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.
ER -