TEST MAPS AND DISCRETE GROUPS IN SL(2, ℂ) II

Cloze test and c test

C*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings

Abstract. In this paper, we define the notion of C*-affine maps in the unital *-rings and we investigate the C*-extreme points of the graph and epigraph of such maps. We show that for a C*-convex map f on a unital *-ring R satisfying the positive square root axiom with an additional condition, the graph of f is a C*-face of the epigraph of f. Moreover, we prove som...

interesting dynamic behavior in some discrete maps

different discrete models of population dynamics of certain insects have been investigated under various feasible conditions within the framework of nonlinear dynamics. evolutionary phenomena are discussed through bifurcation analysis leading to chaos. some tools of nonlinear dynamics, such as lyapunov characteristic exponents (lce), lyapunov numbers, correlation dimension, etc. are calculated ...

Proper holomorphic Legendrian curves in SL2(C)

In this paper we prove that every open Riemann surface properly embeds in the Special Linear group SL2(C) as a holomorphic Legendrian curve, where SL2(C) is endowed with its standard contact structure. As a consequence, we derive the existence of proper, weakly complete, flat fronts in the real hyperbolic space H with arbitrary complex structure.

S-arithmetic Groups of Sl2 Type

For a number field K, we show that any S-arithmetic subgroup of SL2(K) contains a subgroup of finite index generated by three elements if card(S) ≥ 2.