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On a question by G. Navarro on the character field generation of odd-degree characters
Abstract
In [Publ. Mat. 67 (2023), no. 1, 173-198], G. Navarro asked whether the character field of an odd-degree character of a finite group is generated by a single character value. We show by explicit examples that the answer is negative in general.
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BibTeX
@misc{thiel2026question,
title = {{On a question by G. Navarro on the character field generation of odd-degree characters}},
author = {Ulrich Thiel},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.02266},
eprint = {2608.02266},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.02266},
}
RIS
TY - UNPB
TI - On a question by G. Navarro on the character field generation of odd-degree characters
AU - Ulrich Thiel
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2608.02266
UR - https://arxiv.org/abs/2608.02266
AB - In [Publ. Mat. 67 (2023), no. 1, 173-198], G. Navarro asked whether the character field of an odd-degree character of a finite group is generated by a single character value. We show by explicit examples that the answer is negative in general.
ER -