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ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 97 / Issue 2 / April 2018
- Published online by Cambridge University Press:
- 04 October 2017, pp. 215-217
- Print publication:
- April 2018
-
- Article
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- You have access
- Export citation
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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.
ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 96 / Issue 3 / December 2017
- Published online by Cambridge University Press:
- 08 June 2017, pp. 426-428
- Print publication:
- December 2017
-
- Article
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- You have access
- Export citation
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Let
$G$ be a finite solvable group and let 
$p$ be a prime. In this note, we prove that 
$p$ does not divide 
$\unicode[STIX]{x1D711}(1)$ for every irreducible monomial 
$p$-Brauer character 
$\unicode[STIX]{x1D711}$ of 
$G$ if and only if 
$G$ has a normal Sylow 
$p$-subgroup.
