Results 11 to 20 of about 510 (151)
SQUARES OF DEGREES OF BRAUER CHARACTERS AND MONOMIAL BRAUER CHARACTERS [PDF]
Bulletin of the Australian Mathematical Society, 2019 Let $G$ be a finite group and let $p$ be a prime factor of $|G|$. Suppose that $G$ is solvable and $P$ is a Sylow $p$-subgroup of $G$. In this note, we prove that $P{\vartriangleleft}G$ and $G/P$ is nilpotent if and only if $\unicode[STIX]{x1D711}(1)^{2}$ divides $|G:\ker \unicode[STIX]{x1D711}|$ for all irreducible monomial $p$-Brauer characters ...
XIAOYOU CHEN, MARK L. LEWIS
+7 more sources
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 +2 more
openaire +1 more source
A generalization of Brauer characters [PDF]
Transactions of the American Mathematical Society, 1965 1. Statement of results. The Brauer characters, or modular characters, of a finite group G with respect to a prime p are defined only on the p-regular elements of G. Brauer [1], [3] has overcome this limitation to some extent by using the Brauer characters of certain subgroups of G, in terms of which he has defined the generalized decomposition matrix ...
openaire +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
Characters of Brauer’s centralizer algebras [PDF]
Pacific Journal of Mathematics, 1995 This paper, a portion of the author's doctoral dissertation, extends the methods for studying representations and irreducible characters of the symmetric group to the representations and irreducible characters of Brauer's centralizer algebras. The author defines analogues of conjugacy classes for the Brauer algebra, derives formulas for the irreducible
openaire +2 more sources
On fully ramified Brauer characters
Advances in Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Navarro, Gabriel +2 more
openaire +2 more sources
Cuspidal Unipotent Brauer Characters
Journal of Algebra, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geck, M., Hiss, G., Malle, G.
openaire +1 more source
Brauer character degrees and Sylow normalizers
Annali di Matematica Pura ed Applicata (1923 -), 2022 AbstractIfpandqare primes, andGis ap-solvable finite group, it is possible to detect that aq-Sylow normalizer is contained in ap-Sylow normalizer using the character table ofG. This is characterized in terms of the degrees ofp-Brauer characters. Some consequences, which include yet another generalization of the Itô–Michler theorem, are also obtained.
Bonazzi L. +3 more
openaire +3 more sources
On degrees of irreducible Brauer characters [PDF]
Transactions of the American Mathematical Society, 2004 Based on a large amount of examples, which we have checked so far, we conjecture that | G
openaire +2 more sources
A Note on Lifting Brauer Characters [PDF]
Proceedings of the American Mathematical Society, 1975 A Brauer character of a finite group may be lifted to an ordinary character if it lies in a block whose defect groups are contained in a normal p p
openaire +2 more sources