Let G=〈 x,y,t: x2=yk=t2=(xt)2=(yt2=1〉 and q be a prime Cheap Bailey Button Uggs
power. Then any homomorphism from G into PGL(2,q) induces an action on the projective line over Fq. Such an action can be depicted by a coset diagram. We show how the existence of certain types of fragments in these coset diagrams may be related to properties of a corresponding parameter ϑ=r2/βdG, where r and βdG are the trace and determinant of a matrix representing the image of xy in PGL(2,q). We also show how these fragments can be used to show that for a family of positive integers n, all An and Sn are quotients of G6,6,6.
We propose a new class of one-dimensional (1D) photonic waveguides: the fractal photonic crystal waveguides (FPCWs). Cheap Genuine Uggs Uk
These structures are photonic crystal waveguides (PCWs) etched with fratal distribution of grooves such as Cantor bars. The transmission properties of the FPCWs are investigated and compared with those of the conventional 1D PCWs. It is shown that the FPCW transmission spectrum has self-similarity properties associated with the fractal distribution of grooves. Furthermore, FPCWs exhibit sharp localized transmissions peaks that are approximately equidistant inside the photonic band gap.