Results 1 to 10 of about 1,510,675 (162)

Brauer character degrees and Sylow normalizers

Annali di Matematica Pura ed Applicata (1923 -), 2022
If p and q are primes, and G is a p-solvable finite group, it is possible to detect that a q-Sylow normalizer is contained in a p-Sylow normalizer using the character table of G. This is characterized in terms of the degrees of p-Brauer characters.
Lorenzo Bonazzi, G. Navarro, Noelia Rizo, Lucia Sanus   +3 more
semanticscholar   +4 more sources

It\^{o}'s theorem and monomial Brauer characters [PDF]

Bulletin of the Australian Mathematical Society, 2017
Let $G$ be a finite solvable group, and let $p$ be a prime. In this note, we prove that $p$ does not divide $\varphi(1)$ for every irreducible monomial $p$-Brauer character $\varphi$ of $G$ if and only if $G$ has a normal Sylow $p$-subgroup.Comment: 3 ...
Chen, Xiaoyou, Lewis, Mark L.
core   +3 more sources

P-Parts of Brauer character degrees

Journal of Algebra, 2014
Let \(G\) be a finite group and \(p\) be an odd prime. The authors prove the following results. Theorem A. Suppose that the degrees of all nonlinear irreducible \(p\)-Brauer characters of \(G\) are divisible by \(p\). If \(p\geq 5\), then \(G\) is solvable; and if \(p=3\) and the \(p\)-parts of the degrees of nonlinear irreducible \(p\)-Brauer ...
G. Navarro, P. Tiep, H. Tong‐Viet
semanticscholar   +2 more sources

Sylow Normalizers and Brauer Character Degrees

Journal of Algebra, 2000
Let \(p\) and \(q\) be primes and let \(G\) be a finite \(\{p,q\}\)-solvable group. Let \(P\) be a Sylow \(p\)-subgroup of \(G\) and \(Q\) a Sylow \(q\)-subgroup of \(G\). Let \(N_G(P)\) and \(N_G(Q)\) denote the normalizers in \(G\) of these subgroups. The main result of the paper under review is the following.
A. Beltrán, G. Navarro
semanticscholar   +3 more sources

Counting lifts of Brauer characters [PDF]

, 2010
In this paper we examine the behavior of lifts of Brauer characters in p-solvable groups where p is an odd prime. In the main result, we show that if \phi \in IBrp(G) is a Brauer character of a solvable group such that \phi has an abelian vertex subgroup
Cossey, James P., Lewis, Mark L.
core   +2 more sources

Irreducible Characters with Cyclic Anchor Group

Axioms, 2023
We consider G to be a finite group and p as a prime number. We fix ψ to be an irreducible character of G with its restriction to all p-regular elements of G and ψ0 to be an irreducible Brauer character.
Manal H. Algreagri, Ahmad M. Alghamdi
doaj   +1 more source

Brauer characters of $q’$- degree [PDF]

Proceedings of the American Mathematical Society, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lewis, Mark L., Tong Viet, Hung P.
openaire   +1 more source

Preface to Special Issue in Honor of Carlos Castillo-Chavez

Mathematical Biosciences and Engineering, 2013
A little more than a quarter-century ago, I received an inquiry from a young Assistant Professor of Applied Mathematics at the University of Tulsa, the honoree of this volume, Carlos Castillo-Chavez.
Simon A. Levin
doaj   +1 more source

Virtual Morita equivalences and Brauer character bijections [PDF]

Archiv der Mathematik
We extend a theorem of Kessar and Linckelmann concerning Morita equivalences and Galois compatible bijections between Brauer characters to virtual Morita equivalences.
Xin Huang
semanticscholar   +1 more source

NONVANISHING ELEMENTS FOR BRAUER CHARACTERS [PDF]

Journal of the Australian Mathematical Society, 2015
Let $G$ be a finite group and $p$ a prime. We say that a $p$-regular element $g$ of $G$ is $p$-nonvanishing if no irreducible $p$-Brauer character of $G$ takes the value $0$ on $g$. The main result of this paper shows that if $G$ is solvable and $g\in G$ is a $p$-regular element which is $p$-nonvanishing, then $g$ lies in a normal subgroup of $G$ whose
DOLFI, SILVIO, PACIFICI, EMANUELE, Sanus, Lucia   +2 more
openaire   +1 more source