Extensions of algebraic groups with finite quotient and nonabelian 2-cohomology
, 2017 For a finite smooth algebraic group $F$ over a field $k$ and a smooth algebraic group $\bar G$ over the separable closure of $k$, we define the notion of $F$-kernel in $\bar G$ and we associate to it a set of nonabelian 2-cohomology. We use this to study
Arteche, Giancarlo Lucchini
core +1 more source
Integral monodromy groups of Kloosterman sheaves
, 2018 We show that integral monodromy groups of Kloosterman $\ell$-adic sheaves of rank $n\ge 2$ on $\mathbb{G}_m/\mathbb{F}_q$ are as large as possible when the characteristic $\ell$ is large enough, depending only on the rank.
Perret-Gentil, Corentin
core +1 more source
Weakly commensurable groups, with applications to differential geometry [PDF]
, 2013 The article contains a survey of our results on weakly commensurable arithmetic and general Zariski-dense subgroups, length-commensurable and isospectral locally symmetric spaces and of related problems in the theory of semi-simple agebraic groups.
Andrei, Gopal Prasad, S. Rapinchuk
core
Additive relative invariants and the components of a linear free divisor [PDF]
, 2014 A 'prehomogeneous vector space' is a rational representation $\rho:G\to\mathrm{GL}(V)$ of a connected complex linear algebraic group $G$ that has a Zariski open orbit $\Omega\subset V$. Mikio Sato showed that the hypersurface components of $D:=V\setminus
Pike, Brian
core
One algebra of double cosets for a general linear group over a finite field
Let $\mathbb {F}_q$ be finite field with $q$ elements. Let $α\leqslant n$ be positive integers. Consider the general linear group $\mathrm{GL}(α+n, \mathbb {F}_q) $ and its subgroup $H(n)$, which fixes the first $α$ basis elements in $\mathbb {F}_q^{α+n}$. Denote $\mathcal{A}_n$ by the convolution algebra of $H(n)$-biinvariant functions on $\mathrm{GL}(
openaire +2 more sources
Homogeneous spaces, algebraic $K$-theory and cohomological dimension of fields
, 2019 Let $q$ be a non-negative integer. We prove that a perfect field $K$ has cohomological dimension at most $q+1$ if, and only if, for any finite extension $L$ of $K$ and for any homogeneous space $Z$ under a smooth linear connected algebraic group over $L$,
Arteche, Giancarlo Lucchini +1 more
core
A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with <i>p</i>-Modular Lattice Constructions. [PDF]
Entropy (Basel)Khodaiemehr H +5 more
europepmc +1 more source
Parametric action of homomorphic image of modular group and it's application in image encryption. [PDF]
Sci RepRafiq A +7 more
europepmc +1 more source
Applications of representation theory and of explicit units to Leopoldt's conjecture. [PDF]
Res Number TheoryFerri F, Johnston H.
europepmc +1 more source
A design of multiple color image encryption scheme based on finite algebraic structures. [PDF]
Sci RepQayyum T, Shah T, Khan I, Popa IL.
europepmc +1 more source