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DEGREES OF BRAUER CHARACTERS AND NORMAL SYLOW -SUBGROUPS [PDF]
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
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Gasterophilus flavipes (Oestridae: Gasterophilinae): A horse stomach bot fly brought back from oblivion with morphological and molecular evidence. [PDF]
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
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Brauer characters and normal Sylow p-subgroups [PDF]
Statements of Claim (1) in Theorems 2.6 and 3.3 are ...
T. P. Hung
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Brauer characters of ’- degree [PDF]
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M. Lewis, Hung Viet
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Turning weight multiplicities into Brauer characters [PDF]
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
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Brauer characters and coprime action
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B. Späth, C. Rodríguez
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Real ordinary characters and real brauer characters
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
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Unitriangular basic sets, Brauer characters and coprime actions [PDF]
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
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Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements [PDF]
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
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Irreducible Characters with Cyclic Anchor Group
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
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