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ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II
Published online by Cambridge University Press: 04 October 2017
Abstract
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.
MSC classification
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- Research Article
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- 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).
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