Restricting irreducible characters to Sylow $p$-subgroups
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- by Eugenio Giannelli and Gabriel Navarro PDF
- Proc. Amer. Math. Soc. 146 (2018), 1963-1976 Request permission
Abstract:
We restrict irreducible characters of finite groups of degree divisible by $p$ to their Sylow $p$-subgroups and study the number of linear constituents.References
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Additional Information
- Eugenio Giannelli
- Affiliation: Trinity Hall, University of Cambridge, Trinity Lane, CB21TJ, United Kingdom
- MR Author ID: 1011546
- Email: eg513@cam.ac.uk
- Gabriel Navarro
- Affiliation: Department of Mathematics, University of Valencia, 46100 Valencia, Spain
- MR Author ID: 129760
- Email: gabriel@uv.es
- Received by editor(s): March 9, 2017
- Received by editor(s) in revised form: August 22, 2017
- Published electronically: January 16, 2018
- Additional Notes: The first author’s research was funded by Trinity Hall, University of Cambridge. The research of the second author was supported by MTM2016-76196-P, Feder, and Prometeo/Generalitat Valenciana.
- Communicated by: Pham Huu Tiep
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1963-1976
- MSC (2010): Primary 20C15
- DOI: https://doi.org/10.1090/proc/13970
- MathSciNet review: 3767349