ON THE LARGEST CHARACTER DEGREE OF SOLVABLE GROUPS
Abstract We strengthen two results of Moretó. We prove that the index of the Fitting subgroup is bounded in terms of the degrees of the irreducible monomial Brauer characters of the finite solvable group G and it is also bounded in terms of the average degree of the irreducible Brauer characters of G that lie over a linear character of the Fitting subgroup.
Authors
- Mengtian Zhang
- Yong Yang (ORCID: https://orcid.org/0000-0003-4671-8088)
Institutions
- China Three Gorges University (CN)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2025-07-04
- DOI
- https://doi.org/10.1017/s000497272510021x
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Simons Foundation