Let G be a simple Lie group with a maximal torus T . We construct the cohomology ring H∗(G; Z) in terms of Schubert classes on G/T . 2000 Mathematical Subject Classification: 55T10; 14M15

We use the Bateman-Horn conjecture to study the order of the set of Fq-rational points of primitive subgroups that arise in torus-based cryptography. We provide computational evidence to support the heuristics and make some suggestions regarding parameter selection for torus-based cryptography.

the broadcast domination number of the cartesian product of two cycles is completely determined.

Elliptic genera of level N have been defined by F. Hirzebruch, generalising the earlier notion of elliptic genus due to S. Ochanine. We show that there are corresponding elliptic cohomology theories which are naturally associated to such genera and that these are obtained from the level 1 case by algebraic extension of the coefficient rings from level 1 to level N modular forms. Introduction. I...

The aim of this study was to determine the prevalence of torus mandibularis in dental patients with regard to ethnic population in Karachi city. This study was undertaken at a dentistry teaching hospital of Karachi. Eight hundred subjects were clinically examined, presenting for their common dental health issues with the diagnosis of torus mandibularis (TM). This study was conducted from Januar...

NANO-SCALED GRAFTING WITH PHSOPHOLIPID POLYMERS Kazuhiko Ishihara, Toru Moro, Yoshio Takatori, Hiroshi Kawaguchi, Kozo Nakamura, and Tomohiro Konno Department of Materials Engineering, School of Engineering and Center for NanoBio Integration The University of Tokyo, Tokyo, 113-8656, Japan Department of Sensory and Motor System Medicine, School of Medicine The University of Tokyo, Tokyo, 113-865...

This paper considers optimal routing and channel assignment (RCA) schemes to realize hypercube communication on optical mesh–like networks. Specifically, we identify lower bounds on the number of channels required to realize hypercube communication on top of array and ring topologies and develop optimal RCA schemes that achieve the lower bounds on these two topologies. We further extend the sch...

Cosmological gamma-ray bursts (GRBs) are probably powered by systems harboring a rotating black hole. This may result from hypernovae or black hole-neutron star coalescence. We identify short/long bursts with hyper-and suspended-accretion states around slowly/rapidly rotating black holes [van Putten & Ostriker, ApJL, 552, L31, 2001]. Black holes may be activated into producing outflows by a sur...