Results 21 to 30 of about 13,417,881 (325)
Ax-Schanuel condition in arbitrary characteristic [PDF]
, 2017 We prove a positive characteristic version of Ax's theorem on the intersection of an algebraic subvariety and an analytic subgroup of an algebraic group.
Kowalski, Piotr
core +1 more source
A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure
IEEE Access, 2022 Substitution-boxes are the main deciding components in symmetric-key cryptosystems for resisting many cryptanalytic attacks. It has been a challenging task for the designers to construct strong S-box which satisfies multiple cryptographic properties ...
Amirul Haque +4 more
doaj +1 more source
Twisted gamma filtration of a linear algebraic group [PDF]
Compositio Mathematica, 2011 In the present paper we introduce and study the twisted γ-filtration on K0(Gs), where Gs is a split simple linear algebraic group over a field k of characteristic prime to the order of the center of Gs.
K. Zainoulline
semanticscholar +1 more source
Birational splitting and algebraic group actions [PDF]
, 2015 According to a classical theorem, every algebraic variety endowed with a nontrivial rational action of a connected linear algebraic group is birationally isomorphic to a product of another algebraic variety and $$\mathbf{P}^s$$Ps with strictly positive $$
V. Popov
semanticscholar +1 more source
The length and depth of algebraic groups [PDF]
, 2018 Let $G$ be a connected algebraic group. An unrefinable chain of $G$ is a chain of subgroups $G = G_0 > G_1 > \cdots > G_t = 1$, where each $G_i$ is a maximal connected subgroup of $G_{i-1}$. We introduce the notion of the length (respectively, depth) of $
Burness, Timothy C. +2 more
core +3 more sources
The matrix Jacobson graph of finite commutative rings
Electronic Journal of Graph Theory and Applications, 2022 The notion of the matrix Jacobson graph was introduced in 2019. Let R be a commutative ring and J(R) be the Jacobson radical of ring R. The matrix Jacobson graph of ring R size m × n, denoted 𝔍(R)m × n, is defined as a graph where the vertex set is Rm ...
Siti Humaira +3 more
doaj +1 more source
Invariants and separating morphisms for algebraic group actions [PDF]
, 2014 The first part of this paper is a refinement of Winkelmann’s work on invariant rings and quotients of algebraic group actions on affine varieties, where we take a more geometric point of view.
Emilie Dufresne, H. Kraft
semanticscholar +1 more source
Algebraic subgroups of the plane Cremona group over a perfect field [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group.
Julia Schneider, Susanna Zimmermann
doaj +1 more source
Versality of algebraic group actions and rational points on twisted varieties [PDF]
, 2011 We formalize and study several competing notions of versality for an action of a linear algebraic group on an algebraic variety X. Our main result is that these notions of versality are equivalent to various statements concerning rational points on ...
A. Duncan, Z. Reichstein
semanticscholar +1 more source
Cohomology of simple modules for algebraic groups
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev +2 more
doaj +1 more source