Isogenies of elliptic curves and the Morava stabilizer group

Let MS_2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over \br{FF}_p, O the ring of endomorphisms of C, and \ell a topological generator of Z_p^x (respectively Z_2^x/{+-1} if p = 2). We show that for p > 2 the group \Gamma \subseteq O[1/\ell]^x of quasi-endomorphisms of degree a power of \ell is dense in MS_2. For p = 2, we show that \Gamma is dense in an index 2 subgroup of MS_2.Comment: 16 pages, to appear in J. Pure Appl. Al

Sequences of reflection functors and the preprojective component of a valued quiver

This paper concerns preprojective representations of a finite connected valued quiver without oriented cycles. For each such representation, an explicit formula in terms of the geometry of the quiver gives a unique, up to a certain equivalence, shortest (+)-admissible sequence such that the corresponding composition of reflection functors annihilates the representation. The set of equivalence classes of the above sequences is a partially ordered set that contains a great deal of information about the preprojective component of the Auslander-Reiten quiver. The results apply to the study of reduced words in the Weyl group associated to an indecomposable symmetrizable generalized Cartan matrix

Collaborative concept mapping: an education research team leveraging their collaborative efforts

Collaborative concept mapping (CCM) has been a tool deployed by educators to enhance learning in such situations as primary science classes, supported learning environments and asynchronous computer-mediated learning. Of its outcomes, CCM has produced rich group discussion about ideas and possibilities pertinent to the topic or problem at hand. The majority of research into CCM has been explicitly pointed at enhancing learning. This chapter takes a different tack by reporting on how the authors used CCM to seek understandings of its utility in enabling collaborative research by creating synergies within a research team located in the Faculty of Education at the University of Southern Queensland. The following questions were used to focus the research: • What was the research team’s experience of collaborative concept mapping? • What propositions did the team construct about teamwork and collaboration? • How did the interactions among team members facilitate meaning-making about teamwork and collaboration? The data consisted of this team’s collaborative concept map and recordings of the dialogue during the process of constructing the map. Analysis revealed the team’s emerging propositions about teamwork and collaboration and also contributed understandings of the co-constructed patterns of talk that produced this dynamic map. The chapter concludes that collaborative concept mapping is a useful tool for research and other team development, and possibly for the collaborative conceptualisation of future team research projects

the Growth Potential for the Indiana Livestock Industries

Feed, processing capacity, population density versus animal density, and environmental capacities are the four different dimensions of livestock location and growth potential analyzed for Indiana. These four dimensions provide livestock producers, government officials, and livestock associations a valuable perspective on the constraints that could limit Indiana’s livestock growth potential. Comparisons among 21 states on these dimensions indicated that Indiana is a second choice of states for livestock growth; Kansas and Iowa are the only first choices. Indiana’s strength in the state comparison is its ability to assimilate the phosphorus produced by livestock and commercial phosphorus. As environmental regulations continue to tighten and shift from nitrogen to phosphorus based application standards for manure, the ability to assimilate phosphorus will continue to be one of Indiana’s strengths, along with its abundance of feed and swine processing capacity. Population density is the key dimension that is a disadvantage for Indiana. Within the state of Indiana, the West Central district has key advantages compared to other districts of the state. This district has an abundance of feed, the second lowest population density in the state, and excess phosphorus assimilation capacity. This district does not have processing capacity for any species, but the adjoining districts do have adequate processing capacity. Overall, the results show that Indiana has the potential to grow the livestock sector. However, there will be constraints such as population density that require more in-depth study to determine how to address this potential limitation on growth.Livestock Growth, Animal Waste, Feed Capacity, Livestock Processing Capacity, Animal Density, Population Density

Determining the Optimal Location for Collocating a Louisiana Sugar Mill and a New Cellulosic Ethanol Plant

This paper examines the possibility of collocating a cellulosic ethanol processing plant with certain Louisiana sugar mills, chosen based on their strategic locations and cane grinding capacity. The prospective plants are compared based on transportation costs and overall economic performance.cellulosic ethanol, advanced biofuels, sugarcane, energy cane, bioenergy, Agribusiness, Production Economics, Resource /Energy Economics and Policy, q16, q42,

Theism and Psychological Science: A Call for Rapprochement

The authors offer two arguments for the inclusion of theism in natural science. First, an argument against excluding theism is offered. Though early roots of science promoted a view that it is a way to accumulate knowledge that is untainted by presuppositions and traditions, postmodern critiques call this into question. Scientists have sometimes rejected religion as a context-dependent, tradition-based way of knowing, yet science itself is also context-dependent and tradition-based. Second, an argument for including theism in psychological is offered. Theistic beliefs are relevant insofar as they are part of human experience for many, they represent a form of human diversity, and they have been associated with some positive health outcomes