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Restricting irreducible characters to Sylow $ p$-subgroups

Authors: Eugenio Giannelli and Gabriel Navarro
Journal: Proc. Amer. Math. Soc. 146 (2018), 1963-1976
MSC (2010): Primary 20C15
Published electronically: January 16, 2018
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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.

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Additional Information

Eugenio Giannelli
Affiliation: Trinity Hall, University of Cambridge, Trinity Lane, CB21TJ, United Kingdom

Gabriel Navarro
Affiliation: Department of Mathematics, University of Valencia, 46100 Valencia, Spain

Keywords: Character restriction, Sylow subgroups, symmetric groups
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
Article copyright: © Copyright 2018 American Mathematical Society

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