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Young children's science learning from narrative books: The role of text cohesion and caregivers' extratextual talk. [PDF]
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Characters, Brauer characters, and local Brauer groups
Communications in Algebra, 2020Let p be a prime. Let G be a finite group, and let χ be an irreducible character of G. Suppose F is a finite extension of Q p , the field of p-adic numbers.
A. Turull
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Journal of Pure and Applied Algebra, 2021
Let \(G\) be a finite group and \(p\) a prime dividing the order of \(G\). An element \(x \in G\) is called real if \(x\) is \(G\)-conjugate to its inverse \(x^{-1}\) and an element \(g \in G\) is called \(p\)-regular if \(p\) does not divide the order of \(g\). By Brauer's lemma on character tables, Theorem 6.32 of [\textit{I. M.
H. Tong‐Viet
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Let \(G\) be a finite group and \(p\) a prime dividing the order of \(G\). An element \(x \in G\) is called real if \(x\) is \(G\)-conjugate to its inverse \(x^{-1}\) and an element \(g \in G\) is called \(p\)-regular if \(p\) does not divide the order of \(g\). By Brauer's lemma on character tables, Theorem 6.32 of [\textit{I. M.
H. Tong‐Viet
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Brauer characters, degrees and subgroups
Bulletin of the London Mathematical Society, 2022We prove a result on Brauer characters of finite groups, subgroups and degrees of characters, obtaining, as a corollary, a shorter proof of a generalization of a recent result of G. Qian on element orders and character degrees.
Xiaoyou Chen, G. Navarro
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Zeros of Monomial Brauer Characters
Chinese Annals of Mathematics, Series B, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoyou Chen, Gang Chen
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ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II
Bulletin of the Australian Mathematical Society, 2017Let $G$ 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.
Xiaoyou Chen, M. Lewis
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Mathematische Annalen, 2006
It is known that a finite group has even order if and only if it has an irreducible character that is rational valued. In this paper, it is shown that the same is true when ordinary characters are replaced by \(p\)-Brauer characters for \(p\) an odd prime (the result fails for \(p=2\)). A stronger result is proved for \(G\) solvable.
Navarro, Gabriel, Tiep, Pham Huu
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It is known that a finite group has even order if and only if it has an irreducible character that is rational valued. In this paper, it is shown that the same is true when ordinary characters are replaced by \(p\)-Brauer characters for \(p\) an odd prime (the result fails for \(p=2\)). A stronger result is proved for \(G\) solvable.
Navarro, Gabriel, Tiep, Pham Huu
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Brauer characters and rationality
Mathematische Zeitschrift, 2013Let \(G\) be a finite group and let \(p\) be a prime. In this paper, it is proved that \(G\) has a non-trivial rational valued irreducible \(p\)-Brauer character if and only if \(G\) has a non-trivial rational element of order prime to \(p\). The proof relies on the classification of the finite simple groups.
Navarro, Gabriel, Tiep, Pham Huu
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SQUARES OF DEGREES OF BRAUER CHARACTERS AND MONOMIAL BRAUER CHARACTERS
Bulletin of the Australian Mathematical Society, 2019Let $G$ be a finite group and let $p$ be a prime factor of $|G|$ . Suppose that $G$ is solvable and $P$ is a Sylow $p$ -subgroup of $G$ . In this note, we prove that $P{\vartriangleleft}G$ and $G/P$ is nilpotent if and only if $\unicode[STIX]{x1D711}(1)^{
Xiaoyou Chen, M. Lewis
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