Splitting formulas for certain Waldhausen Nil-groups

For a group G that splits as an amalgamation of A and B over a common subgroup C, there is an associated Waldhausen Nil-group, measuring the "failure" of Mayer-Vietoris for algebraic K-theory. Assume that (1) the amalgamation is acylindrical, and (2) the groups A,B,G satisfy the Farrell-Jones isomorphism conjecture. Then we show that the Waldhausen Nil-group splits as a direct sum of Nil-groups associated to certain (explicitly describable) infinite virtually cyclic subgroups of G. We note that a special case of an acylindrical amalgamation includes any amalgamation over a finite group C.Comment: 12 page

Four keys to Chilean culture : authoritarianism, legalism, fatalism and compadrazgo

Chilean culture is said to be part of a wider Hispanic American culture that shares many traits (see Godoy et al. 1986; Subercaseaux 1999; Valdivieso and which could be identified as an identity with a Latin American sense (see Rodríguez et al. 2001). In this sense, though it may seem as if any attempt to describe or analyse particular operating elements, processes, systems and structures were a useless task, the nature of identity makes it a multiple and symbolically contradictory phenomenon, with relevant contextual 'consequences' and particularities that help identify a collective imaginary that can be associated with what means to be Chilean. As such, the importance of meaning lies not on its production but rather on its reception; therefore, we aim to address some elements of the reception that we have identified as 'critical' or 'diagnostic'. By 'critical', we mean those elements, which absence would substantively modify what is collectively associated with Chilean culture and by 'diagnostic', we suggest the possibility they offer of exploring meaningful contextual traits. In order to contextualise our analysis, we will focus on three discursive levels, namely organisational/structural, cultural/ideological and identity. At the organisational/structural level, we will make reference to structure and aesthetics in the broader sense of social context as well as in public and private organisations; at cultural/ideological level, we will make reference to practices, rituals, values and behaviours; and at the identity level we will make reference to strategies individuals use to manage their social identities

The Project Scheduling Problem with Non-Deterministic Activities Duration: A Literature Review

Purpose: The goal of this article is to provide an extensive literature review of the models and solution procedures proposed by many researchers interested on the Project Scheduling Problem with nondeterministic activities duration. Design/methodology/approach: This paper presents an exhaustive literature review, identifying the existing models where the activities duration were taken as uncertain or random parameters. In order to get published articles since 1996, was employed the Scopus database. The articles were selected on the basis of reviews of abstracts, methodologies, and conclusions. The results were classified according to following characteristics: year of publication, mathematical representation of the activities duration, solution techniques applied, and type of problem solved. Findings: Genetic Algorithms (GA) was pointed out as the main solution technique employed by researchers, and the Resource-Constrained Project Scheduling Problem (RCPSP) as the most studied type of problem. On the other hand, the application of new solution techniques, and the possibility of incorporating traditional methods into new PSP variants was presented as research trends. Originality/value: This literature review contents not only a descriptive analysis of the published articles but also a statistical information section in order to examine the state of the research activity carried out in relation to the Project Scheduling Problem with non-deterministic activities duration.Peer Reviewe