Results 151 to 160 of about 1,499,123 (205)

MONOLITHIC BRAUER CHARACTERS

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.
Xiaoyou Chen, M. Lewis
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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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Counting Lifts of Irreducible Brauer Characters

Journal of Algebra and its Applications
Let $p$ be an odd prime, and suppose that $G$ is a $p$-solvable group and $\varphi\in {\rm IBr}(G)$ has vertex $Q$. In 2011, Cossey, Lewis and Navarro proved that the number of lifts of $\varphi$ is at most $|Q:Q'|$ whenever $Q$ is normal in $G$. In this
Junwei Zhang, Xuewu Chang, Ping Jin
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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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An equivariant bijection of irreducible Brauer characters above the Dade–Glauberman–Nagao correspondence

Journal of Algebra, 2023
Qulei Fu
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Prime graphs and Brauer characters

Journal of Group Theory, 1998
For 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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