On the degrees of irreducible characters fixed by some field automorphism in finite groups
Abstract We prove a variant of the theorem of Ito–Michler, investigating the properties of finite groups where a prime number does not divide the degree of any irreducible character left invariant by some Galois automorphism of order .
Authors
- Nicola Grittini (ORCID: https://orcid.org/0000-0002-2476-2304)
Institutions
- University of Milano-Bicocca (IT)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-11-20
- DOI
- https://doi.org/10.1112/blms.13186
- Citations
- 1
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 1.32