Groups Acting on Tensor Products

Groups preserving a distributive product are encountered often in algebra. Examples include automorphism groups of associative and nonassociative rings, classical groups, and automorphism groups of p-groups. While the great variety of such products precludes any realistic hope of describing the general structure of the groups that preserve them, it is reasonable to expect that insight may be gained from an examination of the universal distributive products: tensor products. We give a detailed description of the groups preserving tensor products over semisimple and semiprimary rings, and present effective algorithms to construct generators for these groups. We also discuss applications of our methods to algorithmic problems for which all currently known methods require an exponential amount of work. (C) 2013 Elsevier B.V. All rights reserved.

Economic Policies to Address the Environmental Consequences of Global Reuse

This paper summarizes a two-country model that solves for optimal tax rates to achieve efficiency in an economy with international trade in used consumer electronics. If only the developed nation can tax the disposal of e-waste, then the global Pareto Optimum can be obtained by either imposing an import tariff on used consumer electronics or subsidizing the return of e-waste for disposal in the developed country. The global Pareto Optimum can also be obtained by reducing the disposal tax in the developed country to a level below the external marginal cost of disposal should no other policy option be available.

On the composition of Frostman Blaschke products

We construct an infinite uniform Frostman Blaschke product B such that B composed with itself is also a uniform Frostman Blaschke product. We also show that the set of uniform Frostman Blaschke products is open in the set of inner functions with the uniform norm.