On Groups with Two Isomorphism Classes of Derived Subgroups

The structure of groups which have at most two isomorphism classes of derived subgroups (D-2-groups) is investigated. A complete description of D-2-groups is obtained in the case where the derived subgroup is finite: the solution leads an interesting number theoretic problem. In addition, detailed information is obtained about soluble D-2-groups, especially those with finite rank, where algebraic number fields play an important role. Also, detailed structural information about insoluble D-2-groups is found, and the locally free D-2-groups are characterized.

The Economics and Nutritional Impacts of Food Assistance Policies and Programs

Recent evidence on malnutrition and poverty raise important questions on the role of food assistance policies and programs. In this review article, we examine evidence on the economic and nutritional impacts of international food assistance programs (FAPs) and policies. The returns on investments in FAPs are, on average, high but depend considerably on the targeting and cost structures as well as on food quality and role of complementary activities. We disaggregate findings into four classes of recipients. Returns to FAPs are highest for children under two. But, FAPs oriented towards early childhood interventions are less well funded than are interventions aimed at school-age children or at the broader, largely adult population even though available evidence indicates that these latter classes of interventions offer considerably lower average returns in economic, health, and nutrition terms. Nonetheless, FAP effectiveness in achieving any of several objectives varies with a range of key factors, including targeting, additionality, seasonality, timeliness, incentive effects, social acceptability and political economy considerations. (C) 2013 Elsevier Ltd. All rights reserved.

Backward Extensions of Recursively Generated Weighted Shifts and Quadratic Hyponormality

Given the weight sequence for a subnormal recursively generated weighted shift on Hilbert space, one approach to the study of classes of operators weaker than subnormal has been to form a backward extension of the shift by prefixing weights to the sequence. We characterize positive quadratic hyponormality and revisit quadratic hyponormality of certain such backward extensions of arbitrary length, generalizing earlier results, and also show that a function apparently introduced as a matter of convenience for quadratic hyponormality actually captures considerable information about positive quadratic hyponormality.