Results 41 to 50 of about 432,172 (328)
Algebraic automorphism groups of pro-affine algebraic groups [PDF]
Proceedings of the American Mathematical Society, 1980 We study the maximum connected algebraic subgroup of automorphisms of certain pro-affine algebraic groups.
openaire +2 more sources
Algebraic subgroups of the group of birational transformations of ruled surfaces [PDF]
Épijournal de Géométrie Algébrique, 2023 We classify the maximal algebraic subgroups of Bir(CxPP^1), when C is a smooth projective curve of positive genus.
Pascal Fong
doaj +1 more source
Toroidal Algebraic Groups [PDF]
Proceedings of the American Mathematical Society, 1961 Many of the more striking elementary properties of abelian varieties generalize to other kinds of algebraic groups, e.g. tori, i.e. direct products of multiplicative groups Gm, and in fact to extensions of tori by abelian varieties. This seems to have been more or less known for some time, but explicit statements are hard to find, a lack we attempt to ...
openaire +1 more source
Comptes Rendus. Mathématique, 2020 We say that a smooth algebraic group $G$ over a field $k$ is very special if for any field extension $K/k$, every $G_K$-homogeneous $K$-variety has a $K$-rational point. It is known that every split solvable linear algebraic group is very special.
Brion, Michel, Peyre, Emmanuel
doaj +1 more source
P-adic lattices are not K\"ahler groups [PDF]
Épijournal de Géométrie Algébrique, 2019 In this note we show that any lattice in a simple p-adic Lie group is not the fundamental group of a compact Ka\"hler manifold, as well as some variants of this result.
Bruno Klingler
doaj +1 more source
Cyclic Codes over a Non-Commutative Non-Unital Ring
MathematicsIn this paper, we investigate cyclic codes over the ring E of order 4 and characteristic 2 defined by generators and relations as E=⟨a,b∣2a=2b=0,a2=a,b2=b,ab=a,ba=b⟩. This is the first time that cyclic codes over the ring E are studied.
Adel Alahmadi +2 more
doaj +1 more source
Indian Journal of Pure and Applied Mathematics, 2012 Let \(KG\) be the group ring of a group \(G\) over a ring \(K\). An element \(\alpha\in KG\) is said to be algebraic over \(K\) if there exists a non-constant polynomial \(f(x)\in K[x]\) such that \(f(\alpha)=0\). In this paper the author makes a survey of the main results in the theory of group rings for algebraic elements which are obtained in recent
openaire +2 more sources
Algebraic automorphism groups [PDF]
Illinois Journal of Mathematics, 1975 For an algebraic group G, let W(G) denote the group of all algebraic group automorphisms of G. In this chapter, we examine the possibility of endowing W(G) with the structure of an algebraic group in such a way that G becomes a strict W(G)-variety. The example of a toroid of dimension greater than 1 shows that this is not always possible. However, good
openaire +3 more sources
Sur l'hyperbolicit\'e de graphes associ\'es au groupe de Cremona [PDF]
Épijournal de Géométrie Algébrique, 2019 To reinforce the analogy between the mapping class group and the Cremona group of rank $2$ over an algebraic closed field, we look for a graph analoguous to the curve graph and such that the Cremona group acts on it non-trivially.
Anne Lonjou
doaj +1 more source