The $p$-rationality of height-zero characters

Authors

Nguyen N. Hung
A. A. Schaeffer Fry

Author 1 OrcID

https://orcid.org/0000-0002-5950-6271

Author 2 OrcID

https://orcid.org/0000-0002-1690-9046

Academic department

Department of Mathematics

Description

We propose and present evidence for a conjectural global-local phenomenon concerning the p-rationality of p-height-zero characters. Specifically, if X is a height-zero character of a finite group G and D is a defect group of the p-block of G containing X, then the p-rationality of Xcan be captured inside the normalizer N_G(D).

Publisher name

Cambridge University Press

Document Type

Article

Digital Object Identifier (DOI) Link

https://doi.org/10.1017/nmj.2025.10077

Publication Date

8-14-2025

Publication Title

Nagoya Mathematical Journal

First Page

1

Last Page

25

Recommended Citation

Hung, Nguyen N. and Fry, A. A. Schaeffer, "The $p$-rationality of height-zero characters" (2025). University Research. 14.
https://ideaexchange.uakron.edu/university_research/14

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.