Results 121 to 130 of about 510 (151)
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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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Acta Mathematica Scientia, 2012
Doctor Foundation of Henan University of Technology [2010BS048]; Tian Yuan Foundations [11126273, 11126271]
Wang Huiqun, Chen Xiaoyou, Zeng Jiwen
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Doctor Foundation of Henan University of Technology [2010BS048]; Tian Yuan Foundations [11126273, 11126271]
Wang Huiqun, Chen Xiaoyou, Zeng Jiwen
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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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Quasi-projective Brauer characters
Journal of Algebra, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Yanjun, Willems, Wolfgang
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Restrictions of Brauer characters and π-partial characters
Ischia Group Theory 2008, 2009exaly +2 more sources
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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Prime graphs and Brauer characters
Journal of Group Theory, 1998For a finite group \(G\) and a set \(\Delta\) of prime divisors of \(| G|\), \(\Gamma_\Delta(G)\) is the graph with vertex set \(\Delta\) where distinct \(p,q\in\Delta\) are joined by an edge if and only if \(G\) contains an element of order \(pq\).
Chigira, Naoki, Iiyori, Nobuo
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