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On p-groups with one nonlinear codegree
Abstract
For an irreducible character χ of a finite group G, its codegree is defined by cod(χ)=|G:kerχ|/χ(1). In this paper, we characterize fnite p-groups whose nonlinear irreducible characters all have the same codegree.
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BibTeX
@misc{zheng2026pgroups,
title = {{On $p$-groups with one nonlinear codegree}},
author = {Jiwei Zheng and Heng Lv},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13371},
eprint = {2610.13371},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13371},
}
RIS
TY - UNPB
TI - On p-groups with one nonlinear codegree
AU - Jiwei Zheng
AU - Heng Lv
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13371
UR - https://arxiv.org/abs/2610.13371
AB - For an irreducible character χ of a finite group G, its codegree is defined by cod(χ)=|G:kerχ|/χ(1). In this paper, we characterize fnite p-groups whose nonlinear irreducible characters all have the same codegree.
ER -