A Quotient of the Set [BG, BU(n)] for a Finite Group G of Small Rank

We construct a natural map from the set [BG,BU(n)] into a set of characters of the Sylow p-subgroups of G and prove that this natural map is a surjection for all finite groups G of rank two. We show, furthermore, that this same natural map is in fact a bijection for two types of finite groups G: those with periodic cohomology and those of rank two with odd order.Comment: 14 page

Fuel character effects on the J79 and F101 engine combustion systems

The effects of select fuel property variations on two major engine classifications are summarized. Thirteen refined and blended fuels were used which exhibited significant variations in hydrogen content, aromatic type, initial boiling point, final boiling point, and viscosity. Trends were very similar but the degree of fuel sensitivity was not constant. For both systems the dominant fuel property during high pressure operation was found to be fuel hydrogen content. For operation at low pressure test points the fuel volatility and viscosity became the dominant fuel properties for both systems. Aromatic type and final boiling point did not significantly affect combustion data. Correlations of other fuel properties with these and other performance parameters are presented

Shari\u27ah, Democracy, and the Modern Nation-State: Some Reflections on Islam, Popular Rule, and Pluralism

In this article, the author examines two considerations that are critical to a full and meaningful assessment of the degree to which Islam, and Islamic law in particular, can find authentic expressions of themselves under what may reasonably be considered a democratic form of government. The first of these has to do with the scope of Islamic law, or more properly, the scope of the interpretive authority of Muslim jurists, and whether a State that is governed by Shari‘ah must necessarily give priority to the views of religious scholars over those of all others in every aspect of life. Does establishing speed limits, formulating economic policy, or setting standards for medical licensing all fall under the legal authority of the jurists? If not, is there any basis other than political fiat upon which the scope of this jurisdiction might be defined? The second consideration is connected to the question of whether in contemplating the relationship between Islam and democracy, we have not conflated the framework within which modern democracy is packaged, namely the Nation-State (and some would insist on adding capitalism), with the spirit and essence of democratic rule. If we could imagine a State structure whose integrity was not equated with the ability to exercise an absolute monopoly over law-making and the concomitant imposition of a uniform standard of conduct on all of its citizens, would the idea of Islamic democracy present as many apparent difficulties as it presently does? The author’s objective is to add a dimension to the discussion on Islam and democracy that will render future assessments and proposals more nuanced and circumspect

Natural resources research and development in Lesotho using LANDSAT imagery

The author has identified the following significant results. A map of the drainage of the whole country to include at least third order streams was constructed from LANDSAT imagery. This was digitized and can be plotted at any required scale to provide base maps for other cartographic projects. A suite of programs for the interpretation of digital LANDSAT data is under development for a low cost programmable calculator. Initial output from these programs has proved to have better resolution and detail than the standard photographic products, and was to update the standard topographic map of a particular region