We show that the isomorphism theorems from abstract group theory have meaningful analogs for these groups and we establish a Jordan–Hlder type theorem that allows us to decompose any affine difference algebraic group into almost-simple affine difference algebraic groups. We also characterize almost-...
The main tools include recent work on bases for actions of simple algebraic groups, together with probabilistic methods and improved fixed point ratio estimates for exceptional groups of Lie type.doi:10.1016/j.jalgebra.2018.08.032Burness, Timothy C...
Algebraic characterization of almost invariance. International Journal of Control, 38(1):107- 124, 1983.J. M. Schumacher, Algebraic characterization of almost invariance, Internat. J. Control , 38 (1983), 107–124.J.M. Schumacher, Algebraic characterizations of almost invariance, International ...
For \\(q\\ge 4\\), we show that an almost simple group G with socle \\(PSL\\left( 2,q\\right) \\) is the automorphism group of at least one abstract chiral... D Leemans,J Moerenhout - 《Journal of Algebraic Combinatorics》 被引量: 2发表: 2016年 Vertex-primitive $s$-arc-tr...
Recognition of the finite almost simple groups PGL2( q) by their spectrum. 1 Introduction For a finite group G, denote by ω( G) the spectrum of G, i.e., the set of orders of elements in G. This set is closed under divisibility an... Chen,G.,Y.,... - 《Journal of Group Th...
For completeness, we prove the simple fact stated in the section title. By the SVD theorem, the matrix (Id+εF) can be written as a product of three matrices UΣVT, where U and V are real orthogonal and Σ is diagonal nonnegative, with the elements on the diagonal in the range [1...
The reason is that there is no simple criterion for the existence of a lattice in a connected and simply-connected solvable Lie group. We consider the question of existence of lattices in solvable Lie groups up to dimension six and examine whether the corresponding solvmanifolds are formal, ...
R Leclercq - 《Algebraic & Geometric Topology》 被引量: 17发表: 2009年 Navigation Functions on Cross Product Spaces compositions fold into a single, computational simple expression, enabling the practical construction of NFs on the Cartesian product of several manifolds.doi... NJ Cowan - 《IEEE ...
It is a classic result that PSLn(F(k)) is simple unless n=2 and |F(k)|=2,3. In these examples the groups G are amenable since they are locally finite. Example 2.14 Recall that a group is called residually finite if its points are separated by the homomorphisms into finite groups....
In the case N=1, the smoothness condition means that F has only simple zeroes and we prove that a self-map of P1 has constant multipliers if and only if it has the form ϕ(X,Y)=(FY,−FX). We recover in this manner classical dynamical systems like the Newton method for finding ...