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ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II

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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… Click to show full 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.

Keywords: brauer characters; monomial brauer; theorem monomial

Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2017

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