Results 1 to 10 of about 104,032 (100)
Definability of linear equation systems over groups and rings [PDF]
Logical Methods in Computer Science, 2013 Motivated by the quest for a logic for PTIME and recent insights that the descriptive complexity of problems from linear algebra is a crucial aspect of this problem, we study the solvability of linear equation systems over finite groups and rings from ...
Anuj Dawar +4 more
doaj +8 more sources
On Finite Subgroups in the General Linear Groups over an Algebraic Number Field
Journal of Physics: Conference Series, 2022 Abstract As is well-known, there are only finitely many isomorphic classes of finite subgroups in a given general linear group over the field of rational numbers. This result can be generalized to any algebraic number field. While the case of field of rational numbers is relatively well-studied, we still do not know much for general ...
openaire +1 more source
Irreducible subgroups of simple algebraic groups - a survey [PDF]
, 2018 Let $G$ be a simple linear algebraic group over an algebraically closed field $K$ of characteristic $p \geqslant 0$, let $H$ be a proper closed subgroup of $G$ and let $V$ be a nontrivial finite dimensional irreducible rational $KG$-module. We say that $(
Burness +10 more
core +3 more sources
The étale cohomology of the general linear group over a finite field and the Dickson algebra
Kyoto Journal of Mathematics, 2018 Let \(p\) and \(l\) be two different primes and \(X\) be a smooth algebraic variety over a finite field \(k= \mathbb F_p\). Let \({H^*}_{\mathrm{et}} (X, \mathbb Z/l)\) be the étale cohomology of \(X\) over \(k\). It is known that the cohomology of the classifying space (Milnor space) \(BG\) of any algebraic group \(G\) can be computed by smooth ...
Tezuka, Michishige, Yagita, Nobuaki
openaire +2 more sources
Criteria for the density property of complex manifolds [PDF]
, 2007 In this paper we suggest new effective criteria for the density property. This enables us to give a trivial proof of the original Anders\'en-Lempert result and to establish (almost free of charge) the algebraic density property for all linear algebraic ...
Kaliman, Shulim, Kutzschebauch, Frank
core +4 more sources
Quadratic forms and linear algebraic groups [PDF]
, 2009 Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +2 more
core +1 more source
Moufang sets and structurable division algebras [PDF]
, 2019 A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which is regular on the remaining vertices; these regular normal subgroups are called the root groups, and they are assumed to ...
Boelaert, Lien +2 more
core +2 more sources
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. +2 more
core +1 more source
Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms
, 2003 We prove that every mapping torus of any free group endomorphism is residually finite. We show how to use a not yet published result of E. Hrushovski to extend our result to arbitrary linear groups.
Alexander Borisov +14 more
core +1 more source
Good reduction of algebraic groups and flag varieties [PDF]
, 2015 In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places.
Javanpeykar, Ariyan, Loughran, Daniel
core +2 more sources