PreprintCC BY 4.0arXiv
On multiply induced characters
Abstract
We investigate finite group structures that yield complex irreducible characters induced simultaneously from two or more distinct subgroups. When such a group is realized as the Galois group of a Galois extension of number fields, this phenomenon implies that multiple subfields share the same Artin L-function.
Versions
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BibTeX
@misc{kida2026multiply,
title = {{On multiply induced characters}},
author = {Masanari Kida and Kyohei Matsukawa and Hikari Watanabe},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.04764},
eprint = {2609.04764},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04764},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On multiply induced characters
AU - Masanari Kida
AU - Kyohei Matsukawa
AU - Hikari Watanabe
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2609.04764
UR - https://arxiv.org/abs/2609.04764
AB - We investigate finite group structures that yield complex irreducible characters induced simultaneously from two or more distinct subgroups. When such a group is realized as the Galois group of a Galois extension of number fields, this phenomenon implies that multiple subfields share the same Artin L-function.
ER -