Results 21 to 30 of about 1,499,123 (205)

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

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., Navarro G., Rizo N., Sanus L.   +3 more
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Explicit L-functions and a Brauer-Siegel theorem for Hessian elliptic curves [PDF]

, 2017
For a finite field $\mathbb{F}_q$ of characteristic $p\geq 5$ and $K=\mathbb{F}_q(t)$, we consider the family of elliptic curves $E_d$ over $K$ given by $y^2+xy - t^dy=x^3$ for all integers $d$ coprime to $q$. We provide an explicit expression for the $L$
Griffon, Richard
core   +3 more sources

ITÔ’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 $\unicode[STIX]{x1D711}(1)$ for every irreducible monomial $p$ -Brauer character $\unicode[STIX]{x1D711}$ of $G$ if and only if $G$ has a normal ...
Xiaoyou Chen, M. Lewis
semanticscholar   +1 more source

Brauer relations in finite groups [PDF]

, 2015
If G is a non-cyclic finite group, non-isomorphic G-sets X, Y may give rise to isomorphic permutation representations C[X] and C[Y]. Equivalently, the map from the Burnside ring to the representation ring of G has a kernel. Its elements are called Brauer
Bartel, Alex, Dokchitser, Tim
core   +4 more sources

On fully ramified Brauer characters

Advances in Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Navarro, Gabriel, Späth, Britta, Tiep, Pham Huu   +2 more
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A local-global principle for unipotent characters

Forum of Mathematics, Sigma
We obtain an adaptation of Dade’s Conjecture and Späth’s Character Triple Conjecture to unipotent characters of simple, simply connected finite reductive groups of type $\mathbf {A}$ , $\mathbf {B}$ and $\mathbf {C}$ .
Damiano Rossi
doaj   +1 more source

Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters

, 2015
This paper provides some properties of Brauer symmetry classes of tensors. We derive a dimension formula for the orbital subspaces in the Brauer symmetry classes of tensors corresponding to the irreducible Brauer characters of the groups having cyclic ...
Hormozi, Mahdi, Rodtes, Kijti
core   +2 more sources

On Clifford theory with Galois action [PDF]

, 2016
Let $\widehat{G}$ be a finite group, $N $ a normal subgroup of $\widehat{G}$ and $\theta\in \operatorname{Irr}N$. Let $\mathbb{F}$ be a subfield of the complex numbers and assume that the Galois orbit of $\theta$ over $\mathbb{F}$ is invariant in ...
Ladisch, Frieder
core   +1 more source

The elementary obstruction and homogeneous spaces [PDF]

, 2008
Let $k$ be a field of characteristic zero and ${\bar k}$ an algebraic closure of $k$. For a geometrically integral variety $X$ over $k$, we write ${\bar k}(X)$ for the function field of ${\bar X}=X\times_k{\bar k}$.
Borovoi, M., Colliot-Thélène, J-L., Skorobogatov, A. N.   +2 more
core   +1 more source