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DEGREES OF BRAUER CHARACTERS AND NORMAL SYLOW -SUBGROUPS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2020
Let $p$ be a prime, $G$ a solvable group and $P$ a Sylow $p$-subgroup of $G$. We prove that $P$ is normal in $G$ if and only if $\unicode[STIX]{x1D711}(1)_{p}^{2}$ divides $|G:\ker (\unicode[STIX]{x1D711})|_{p}$ for all monomial monolithic irreducible $p$
Xiaoyou Chen, M. Lewis
semanticscholar   +6 more sources

Gasterophilus flavipes (Oestridae: Gasterophilinae): A horse stomach bot fly brought back from oblivion with morphological and molecular evidence. [PDF]

open access: yesPLoS ONE, 2019
Species of Gasterophilus Leach are obligate parasites in domestic and wild equids and responsible for cosmopolitan gasterophilosis. Although with only eight species known so far, they have received considerable attention because of their significant ...
Xin-Yu Li, Thomas Pape, Dong Zhang
doaj   +2 more sources

Brauer characters and normal Sylow p-subgroups [PDF]

open access: yesJournal of Algebra, 2018
Statements of Claim (1) in Theorems 2.6 and 3.3 are ...
T. P. Hung
semanticscholar   +4 more sources

Brauer characters of ’- degree [PDF]

open access: yesProceedings of the American Mathematical Society, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Lewis, Hung Viet
semanticscholar   +2 more sources

Turning weight multiplicities into Brauer characters [PDF]

open access: yesJournal of Algebra, 2018
We describe two methods for computing $p$-modular Brauer character tables for groups of Lie type $G(p^f)$ in defining characteristic $p$, assuming that the ordinary character table of $G(p^f)$ is known, and the weight multiplicities of the corresponding algebraic group $G$ are known for $p$-restricted highest weights.
Frank Lubeck
semanticscholar   +4 more sources

Brauer characters and coprime action

open access: yesJournal of Algebra, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Späth, C. Rodríguez
semanticscholar   +3 more sources

Real ordinary characters and real brauer characters

open access: yesTransactions 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
P. Tiep
semanticscholar   +3 more sources

Unitriangular basic sets, Brauer characters and coprime actions [PDF]

open access: yesRepresentation Theory: An Electronic Journal of the AMS, 2021
We show that the decomposition matrix of a given group G G is unitriangular, whenever G G has a normal subgroup N N such that the decomposition matrix of N N is unitriangular, G / N G/N is ...
Zhicheng Feng, Britta Spath
semanticscholar   +1 more source

Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements [PDF]

open access: yesIsrael Journal of Mathematics, 2021
Let k(B0) and l(B0) respectively denote the number of ordinary and p-Brauer irreducible characters in the principal block B0 of a finite group G. We prove that, if k(B0)−l(B0) = 1, then l(B0) ≥ p − 1 or else p = 11 and l(B0) = 9. This follows from a more
N. Hung, Benjamin Sambale, P. Tiep
semanticscholar   +1 more source

Irreducible Characters with Cyclic Anchor Group

open access: yesAxioms, 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

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