Results 151 to 160 of about 1,510,709 (196)

Characters, Brauer characters, and local Brauer groups

Communications in Algebra, 2020
Let 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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Brauer characters and rationality

Mathematische Zeitschrift, 2013
Let \(G\) 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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Zeros of Monomial Brauer Characters

Chinese Annals of Mathematics, Series B, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xiaoyou, Chen, Gang
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$M_{p}$ -GROUPS AND BRAUER CHARACTER DEGREES

Bulletin of the Australian Mathematical Society
Let G be a finite group and p be a prime. We prove that if G has three codegrees, then G is an M-group. We prove for some prime p that if the degree of every nonlinear irreducible Brauer character of G is a prime, then for every normal subgroup N of ...
Xiaoyou Chen, Mark L. Lewis
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Zeros of Brauer characters

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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Determination of Brauer Characters

Canadian Journal of Mathematics, 1974
The 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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Quasi-projective Brauer characters

Journal of Algebra, 2018
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Liu, Yanjun, Willems, Wolfgang
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Brauer Characters and Grothendieck Rings

Canadian Journal of Mathematics, 1975
Let 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, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hilbert divisors and degrees of irreducible Brauer characters

Journal of group theroy
In this paper, we prove that the Hilbert divisors of irreducible Brauer characters in 2-blocks with nontrivial abelian defect groups are strictly greater than 1. This confirms a conjecture of Liu and Willems in this case. The proof relates the conjecture
Chaida Xu, Kun Zhang, Yuanyang Zhou
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