Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers

An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this article, we show that every nilpotent subgroup of an $\mathfrak{M}_C$ group is contained in a definable subgroup which is nilpotent of the same nilpotence class. Definitions are uniform when the lengths of chains are bounded

On the Delta set and catenary degree of Krull monoids with infinite cyclic divisor class group

AbstractLet M be a Krull monoid with divisor class group Z, and let S⊆Z denote the set of divisor classes of M which contain prime divisors. We find conditions on S equivalent to the finiteness of both Δ(M), the Delta set of M, and c(M), the catenary degree of M. In the finite case, we obtain explicit upper bounds on maxΔ(M) and c(M). Our methods generalize and complement a previous result concerning the elasticity of M

Aid Allocation of the Emerging Central and Eastern European Donors

The paper examines the main characteristics of the (re)emerging foreign aid policies of the Visegrád countries (the Czech Republic, Hungary, Poland, Slovakia), concentrating on the allocation of their aid resources. We adopt an econometric approach, similar to the ones used in the literature for analyzing the aid allocation of the OECD DAC donors. Using this approach, we examine the various factors that influence aid allocation of the Visegrád countries, using data for the years between 2001 and 2008. Our most important conclusion is that the amount of aid a partner county gets from the four emerging donors is not influenced by the level of poverty or the previous performance (measured by the level of economic growth or the quality of institutions) of the recipients. The main determining factor seems to be geographic proximity, as countries in the Western-Balkans and the Post-Soviet region receive much more aid from the Visegrád countries than other recipients. Historical ties (pre-1989 development relations) and international obligations in the case of Afghanistan and Iraq are also found to be significant explanatory factors. This allocation is in line with the foreign political and economic interests of these new donors. While there are clear similarities between the four donors, the paper also identifies some individual country characteristics

A generalization of a Ramsey-type theorem on hypermatchings

Abstract. For an r-uniform hypergraph G define N(G, l; 2) (N(G, l; Zn)) as the smallest integer for which there exists an r-uniform hypergraph H on N(G, l; 2) (N(G, l; Zn)) vertices with clique(H)< l such that every 2-coloring (Zn-coloring) of the edges of H implies a monochromatic (zero-sum) copy of G. Our results strengthen a Ramsey-type theorem of Bialostocki and Dierker on zero-sum hypermatchings. As a consequence we show that for any n ≥ 2, r ≥ 2, and l> r + 1, N(nK r r, l; 2) = N(nK r r, l; Zn) = (r + 1)n − 1. 1

Intra-Industry Information Transfers Associated With Management Earnings Forecasts

127 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1986.This research provides a theoretical basis for expecting a stock price impact of a firm's disclosure of changes in expected earnings on other non-disclosing firms in its industry (an information transfer) and proposes tests of the proposition that management forecasts of earnings generate such transfers. Cluster analysis procedures are used to construct homogeneous industries for which the transfer effect is hypothesized. Parametric tests are proposed that mitigate the effects of cross-sectional correlation of market model residuals within the industry. In addition, a model is formulated that seeks to explain cross-sectional differences in the magnitude of observed information transfers by economic relationships between the disclosing firm and non-disclosing industry co-members. The magnitude of the information transfer is expressed as a function of the magnitude of changes in earnings expectations of the disclosing firm, the market share variability of the reporter, and a measure of the relative diversification (homogeneity) of industry co-members. The results of empirical tests of these models fail to reject the null hypotheses for information transfer existence and relationship to the sign and magnitude of changes in earnings expectations conveyed by management forecasts (for homogenous industries as defined by cluster analysis). At the 4-digit SIC code level, the results support the hypothesis that the magnitude of information transfers is positively related to the sign and magnitude of changes in earnings expectations conveyed by management forecasts. In addition, the results support the hypothesis that the magnitude of information transfer is inversely related to the relative diversification of industry co-members. The results do not support market share variability as a determinant of the magnitude of information transfers.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD