Results 121 to 130 of about 514 (153)
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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 Qp, the field of p-adic numbers.
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Restrictions of Brauer characters and π-partial characters
Ischia Group Theory 2008, 2009exaly +2 more sources
Determination of Brauer Characters
Canadian Journal of Mathematics, 1974The purpose of this note is to show that the values of an irreducible (Brauer) character are the characteristic values of a matrix with non-negative rational integers. The construction of these integral matrices is done by a description of a representation of the Grothendieck ring of the category of modules over the group algebra.
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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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Zeros of Monomial Brauer Characters
Chinese Annals of Mathematics, Series B, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xiaoyou, Chen, Gang
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Brauer Characters and Grothendieck Rings
Canadian Journal of Mathematics, 1975Let G be a group of finite order g, A a splitting field of G of characteristic p (which may be 0) and R = AG the group algebra of G over A. In [2], the author studied some of the properties of the Grothendieck ring K(R) of the category of all finitely generated R-modules, and derived a number of consequences.
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Brauer Characters of Finite Monoids
Algebras and Representation Theory, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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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.
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A NOTE ON -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 $\mathsf{A}_{7}$ is not involved in $G$, and by $3^{4}$ if $p=3$ and $\mathsf{A}_{7}$ is involved in $G$.
JINBAO LI, YONG YANG
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Brauer Characters Relative to a Normal Subgroup
Proceedings of the London Mathematical Society, 2000The paper under review concerns comparing representations of a finite group in characteristic \(p\) with those in characteristic zero. Let \(N\) be a normal \(p\)-subgroup of \(G\) and let \(G^0=\{x\in G\mid x_p\in N\}\). Let \(\text{cf}(G^-)\) denote the space of complex class functions of \(G\) defined on \(G^0\). If \(\chi\) is a complex irreducible
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