Results 161 to 170 of about 1,510,709 (196)

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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The character triple conjecture for height zero characters and the prime $2$

Revista matemática iberoamericana
We prove that Späth’s character triple conjecture holds for every finite group with respect to maximal defect characters at the prime 2 . This is done by reducing the maximal defect case of the conjecture to the so-called inductive Alperin–McKay
D. Rossi
semanticscholar   +1 more source

ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II

Bulletin of the Australian Mathematical Society, 2017
Let $G$ be a finite solvable group and let $p$ be a prime. We prove that the intersection of the kernels of irreducible monomial $p$-Brauer characters of $G$ with degrees divisible by $p$ is $p$-closed.
XIAOYOU CHEN, MARK L. LEWIS
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ON THE LARGEST CHARACTER DEGREE OF SOLVABLE GROUPS

Bulletin of the Australian Mathematical Society
We strengthen two results of Moretó. We prove that the index of the Fitting subgroup is bounded in terms of the degrees of the irreducible monomial Brauer characters of the finite solvable group G and it is also bounded in terms of the average degree ...
Yongqiang Yang, Mengtian Zhang
semanticscholar   +1 more source

Cuspidal Unipotent Classes and Cuspidal Brauer Characters

Journal of the London Mathematical Society, 1996
Let \(G\) be a connected reductive group defined over the finite field with \(q\) elements. We assume that the centre of \(G\) is connected and that \(q\) is a power of a good prime for \(G\). In his theory of generalized Gelfand-Graev representations (GGGRs for short), \textit{N. Kawanaka} [Proc. Symp. Pure Math.
Geck, Meinolf, Malle, Gunter
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Real ordinary characters and real Brauer characters

Transactions of the American Mathematical Society, 2014
We prove that if G G is a finite group and p p is a prime such that the degree of every real-valued irreducible complex, respectively real-valued irreducible p p -Brauer character, of G G is coprime to p p , then O
openaire   +2 more sources

Super-Brauer characters and super-regular classes

Monatshefte für Mathematik, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xiaoyou, Zeng, Jiwen
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Brauer Characters Relative to a Normal Subgroup

Proceedings of the London Mathematical Society, 2000
The 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
openaire   +1 more source

On p-parts of Brauer character degrees and p-regular conjugacy class sizes of finite groups

Journal of Algebra, 2018
C. Bessenrodt, Yong Yang
semanticscholar   +1 more source

Blocks of small defect in alternating groups and squares of Brauer character degrees

, 2017
Xiaoyou Chen, James P. Cossey, M. Lewis, H. Tong‐Viet   +3 more
semanticscholar   +1 more source