On the residual solvability of generalized free products of solvable groups

In this paper, we study the residual solvability of the generalized free product of solvable groups.Comment: Discrete Mathematics & Theoretical Computer Science, Vol 13, 201

Consortial Geospatial Data Collection: Toward Standards and Processes for Shared GeoBlacklight Metadata

Consortial geospatial data communities, such as the OpenGeoPortal federation and the GeoBlacklight initiative, facilitate contextualized discovery and promote metadata sharing to disperse hosting and preservation responsibilities across institutions. However, the challenges of communal metadata are manifold; they include proliferating standards, varying levels of completeness, mutable technology infrastructures, and uneven availability of human labor. Drawing from literature on metadata quality control, we outline a procedure for “scoring” GeoBlacklight records to establish a Domain Specific Language for metadata best practices. We propose strategies for authorship and management conducive to functionally interoperable geospatial metadata, that is versioned and enhanceable by the collective

What You Believe Travels Differently: Information and Infection Dynamics Across Sub-Networks

In order to understand the transmission of a disease across a population we will have to understand not only the dynamics of contact infection but the transfer of health-care beliefs and resulting health-care behaviors across that population. This paper is a first step in that direction, focusing on the contrasting role of linkage or isolation between sub-networks in (a) contact infection and (b) belief transfer. Using both analytical tools and agent-based simulations we show that it is the structure of a network that is primary for predicting contact infection—whether the networks or sub-networks at issue are distributed ring networks or total networks (hubs, wheels, small world, random, or scale-free for example). Measured in terms of time to total infection, degree of linkage between sub-networks plays a minor role. The case of belief is importantly different. Using a simplified model of belief reinforcement, and measuring belief transfer in terms of time to community consensus, we show that degree of linkage between sub-networks plays a major role in social communication of beliefs. Here, in contrast to the case of contract infection, network type turns out to be of relatively minor importance. What you believe travels differently. In a final section we show that the pattern of belief transfer exhibits a classic power law regardless of the type of network involved

Robustness across the Structure of Sub-Networks: The Contrast between Infection and Information Dynamics

In this paper we make a simple theoretical point using a practical issue as an example. The simple theoretical point is that robustness is not 'all or nothing': in asking whether a system is robust one has to ask 'robust with respect to what property?' and 'robust over what set of changes in the system?' The practical issue used to illustrate the point is an examination of degrees of linkage between sub-networks and a pointed contrast in robustness and fragility between the dynamics of (1) contact infection and (2) information transfer or belief change. Time to infection across linked sub-networks, it turns out, is fairly robust with regard to the degree of linkage between them. Time to infection is fragile and sensitive, however, with regard to the type of sub-network involved: total, ring, small world, random, or scale-free. Aspects of robustness and fragility are reversed where it is belief updating with reinforcement rather than infection that is at issue. In information dynamics, the pattern of time to consensus is robust across changes in network type but remarkably fragile with respect to degree of linkage between sub-networks. These results have important implications for public health interventions in realistic social networks, particularly with an eye to ethnic and socio-economic sub-communities, and in social networks with sub-communities changing in structure or linkage

On the residual solvability of generalized free products of solvable groups

special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and Complexit

The theory of nilpotent groups

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.  While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume.  Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them.  Topics discussed include collection processes, normal forms and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms.  Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource

Sea TENTACLE: Track, Engage, & Neutralize Threats - Asymmetric & Conventional - in the Littoral Environment

Includes supplementary materialSea TENTACLE is a proposed afloat platform whose primary mission is to utilize the state-of-the-art technology of unmanned vehicles to monitor and neutralize all subsurface enemy threats in the littorals. This mission can be specified further as anti-submarine warfare, mine warfare and maritime surveillance. The design philosophy of Sea TENTACLE embodies the ideal of providing a multi-mission capable sea frame extending network-centric warfare into the littorals. The design goals of the TSSE team were first to develop a platform to deploy, recover, and maintain unmanned vehicle (e.g. UUVs, USVs, UAVs) and second to enableto ship to act as an afloat network operations center for distributed assets. Allowing all units to work together seamlessly to conduct focused missions in the littorals makes the Sea TENTACLE a creitical component within the network-centric environment. The versatility of its cargo hold and modular design allows Sea TENTACLE to be outfitted dynamically to complete a veriety of secondary missions including humanitarian aid, salvage and spacial operations support. Sea TENTACLE's combat management and operations system will employ the Enterprise architecture design enabling C4ISR capabilities that will meet emerging network centric warfare needs.US Navy (USN) authorsTunisian Navy authorTurkish Navy authorsApproved for public release; distribution is unlimited