Results 11 to 20 of about 48 (37)

On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes

open access: yesDocumenta Mathematica, 1996
In 1980, Lusztig posed the problem of showing the existence of a unipotent support for the irreducible characters of a nite reductive group G(F q ). This is de ned in terms of certain average values of the irreducible characters on unipotent classes. The
M. Geck
semanticscholar   +1 more source

A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS

open access: yesForum of Mathematics, Sigma, 2015
Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{2}(G)
MICHAEL LARSEN, PHAM HUU TIEP
doaj   +1 more source

THE ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE

open access: yesForum of Mathematics, Pi, 2016
In 1981, Thompson proved that, if $n\geqslant 1$ is any integer and $G$
PHAM HUU TIEP
doaj   +1 more source

A local-global principle for unipotent characters

open access: yesForum 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

Inductive local-global conditions and generalised Harish-Chandra theory

open access: yesForum of Mathematics, Sigma
We study new properties of generalised Harish-Chandra theory aiming at explaining the inductive local-global conditions for finite groups of Lie type in nondefining characteristic.
Damiano Rossi
doaj   +1 more source

Moments, Exponential Sums, and Monodromy Groups

open access: yesForum of Mathematics, Sigma
We determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
doaj   +1 more source

Suspected Transverse Myelitis with Normal MRI and CSF Findings in a Patient with Lupus: What to Do? A Case Series and Systematic Review. [PDF]

open access: yesNeuropsychiatr Dis Treat, 2020
Monahan RC   +10 more
europepmc   +1 more source

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