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ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II

Published online by Cambridge University Press:  04 October 2017

XIAOYOU CHEN
Affiliation:
College of Science, Henan University of Technology, Zhengzhou 450001, China email cxymathematics@hotmail.com
MARK L. LEWIS*
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA email lewis@math.kent.edu
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Abstract

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Let $G$ be a finite solvable group and let $p$ be a prime. We prove that the intersection of the kernels of irreducible monomial $p$-Brauer characters of $G$ with degrees divisible by $p$ is $p$-closed.

Type
Research Article
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

Footnotes

The first author is supported by the China Scholarship Council, Funds of Henan University of Technology (2014JCYJ14, 2016JJSB074 and 26510009), Project of Department of Education of Henan Province (17A110004), Projects of Zheng-zhou Municipal Bureau of Science and Technology (20150249 and 20140970) and the NSFC (11571129).

References

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Pang, L. and Lu, J., ‘Finite groups and degrees of irreducible monomial characters II’, J. Algebra Appl. 15 (2017), 1750231 (5 pp).Google Scholar