Year: 2025
Type: article
Abstract: We propose and present evidence for a conjectural global-local phenomenon concerning the p -rationality of height-zero characters. Specifically, if $\chi $ is a height-zero character of a finite group G and D is a defect group of the p -block of G containing $\chi $ , then the p -rationality of $\chi $ can be captured inside the normalizer ${\mathbf {N}}_G(D)$ .
Source: Nagoya Mathematical Journal
Authors: NGUYEN HUNG, MANDI SCHAEFFER FRY
Institutions: University of Akron, University of Denver
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4417277261