Results 141 to 150 of about 1,510,709 (196)
Association Between Decision-Making Styles, Personality Traits, and Socio-Demographic Factors in Women Choosing Voluntary Pregnancy Termination: A Cross-Sectional Study. [PDF]
Eur J Investig Health Psychol EducLorusso L +7 more
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A systematic review of sensors to combat crime and routes to further sensor development. [PDF]
Front ChemCozens AE, Johnson SD, Lee TC.
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, 2013
In this chapter we construct the Brauer character of a modular representation of G, which is a class function on the p-regular elements in G, and we develop its properties. In particular, we describe the decomposition homomorphism in terms of characters.
P. Schneider
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In this chapter we construct the Brauer character of a modular representation of G, which is a class function on the p-regular elements in G, and we develop its properties. In particular, we describe the decomposition homomorphism in terms of characters.
P. Schneider
semanticscholar +2 more sources
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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Groups with One or Two Super-Brauer Character Theories
Acta Mathematica Sinica. English series, 2020A super-Brauer character theory of a group G and a prime p is a pair consisting of a partition of the irreducible p -Brauer characters and a partition of the p -regular elements of G that satisfy certain properties. We classify the groups and primes that
X. Chen, M. Lewis
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Bulletin of the Australian Mathematical Society, 2019
Let $G$ be a group, $p$ be a prime and $P\in \text{Syl}_{p}(G)$. We say that a $p$-Brauer character $\unicode[STIX]{x1D711}$ is monolithic if $G/\ker \unicode[STIX]{x1D711}$ is a monolith. We prove that $P$ is normal in $G$ if and only if $p\nmid \unicode[STIX]{x1D711}(1)$ for each monolithic Brauer character $\unicode[STIX]{x1D711}\in \text{IBr}(G ...
XIAOYOU CHEN, MARK L. LEWIS
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Let $G$ be a group, $p$ be a prime and $P\in \text{Syl}_{p}(G)$. We say that a $p$-Brauer character $\unicode[STIX]{x1D711}$ is monolithic if $G/\ker \unicode[STIX]{x1D711}$ is a monolith. We prove that $P$ is normal in $G$ if and only if $p\nmid \unicode[STIX]{x1D711}(1)$ for each monolithic Brauer character $\unicode[STIX]{x1D711}\in \text{IBr}(G ...
XIAOYOU CHEN, MARK L. LEWIS
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A NOTE ON $p$-PARTS OF BRAUER CHARACTER DEGREES
Bulletin of the Australian Mathematical Society, 2020Let $G$ be a finite group and $p$ be an odd prime. We show that if $\mathbf{O}_{p}(G)=1$ and $p^{2}$ does not divide every irreducible $p$-Brauer character degree of $G$, then $|G|_{p}$ is bounded by $p^{3}$ when $p\geqslant 5$ or $p=3$ and $\mathsf{A}_ ...
Jinbao Li, Yong Yang
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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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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.
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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.
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