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Brauer characters of $ q'$- degree


Authors: Mark L. Lewis and Hung P. Tong Viet
Journal: Proc. Amer. Math. Soc. 145 (2017), 1891-1898
MSC (2010): Primary 20C20; Secondary 20C15, 20B15
DOI: https://doi.org/10.1090/proc/13352
Published electronically: January 26, 2017
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Abstract | References | Similar Articles | Additional Information

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$.


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Additional Information

Mark L. Lewis
Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
Email: lewis@math.kent.edu

Hung P. Tong Viet
Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
Email: htongvie@math.kent.edu

DOI: https://doi.org/10.1090/proc/13352
Keywords: Brauer character degrees, derangements
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
Article copyright: © Copyright 2017 American Mathematical Society

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