Brauer characters of $q’$- degree
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- by Mark L. Lewis and Hung P. Tong Viet PDF
- Proc. Amer. Math. Soc. 145 (2017), 1891-1898 Request permission
Corrigendum: Proc. Amer. Math. Soc. 150 (2022), 5023-5024.
Abstract:
We show that if $p$ is a prime and $G$ is a finite $p$-solvable group satisfying the condition that a prime $q$ divides the degree of no irreducible $p$-Brauer character of $G$, then the normalizer of some Sylow $q$-subgroup of $G$ meets all the conjugacy classes of $p$-regular elements of $G$.References
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Additional Information
- Mark L. Lewis
- Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
- MR Author ID: 363107
- Email: lewis@math.kent.edu
- Hung P. Tong Viet
- Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
- MR Author ID: 772164
- Email: htongvie@math.kent.edu
- Received by editor(s): April 12, 2016
- Received by editor(s) in revised form: June 28, 2016
- Published electronically: January 26, 2017
- Communicated by: Pham Huu Tiep
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1891-1898
- MSC (2010): Primary 20C20; Secondary 20C15, 20B15
- DOI: https://doi.org/10.1090/proc/13352
- MathSciNet review: 3611305