Stable splittings, spaces of representations and almost commuting elements in Lie groups

In this paper the space of almost commuting elements in a Lie group is studied through a homotopical point of view. In particular a stable splitting after one suspension is derived for these spaces and their quotients under conjugation. A complete description for the stable factors appearing in this splitting is provided for compact connected Lie groups of rank one.By using symmetric products, the colimits \Rep(\Z^n, SU), \Rep(\Z^n,U) and \Rep(\Z^n, Sp) are explicitly described as finite products of Eilenberg-MacLane spaces.Comment: 37 Pages. To appear in Math. Proc. Camb. Phil. So

Horizontal collaboration between international and local non-governmental organisations : a cross-sectional study regarding the Syrian refugee crisis in Jordan : a thesis presented in partial fulfilment of the requirements for the degree of Master in Supply Chain Management at Massey University, Manawatu, New Zealand

Purpose-This thesis seeks to explore supply chain collaboration within a humanitarian context, and to appraise relationships between international non-governmental organisations and community-based organisations during disaster relief. It also aims to identify challenges facing such collaboration in the humanitarian supply chain, and to discover whether effective partnerships contain a set of identifiable facilitators, drivers and mechanisms which promote relationships between local and international NGOs. Design/Methodology/Approach-Literature from both commercial and humanitarian sectors is discussed in the context of horizontal partnerships. A Jordanian cross- sectional study spanning a network of NGOs is explored via semi-structured interviews. Insights are synthesised into a conceptual model of how NGOs can form partnerships during a humanitarian response. Findings-The research provides valuable insights into the challenges facing local and international NGOs when developing partnerships. Four types of challenge are identified: organisational, inter-organisational, external, and donor-related. The conceptual model highlights the essential elements required for effective partnerships. Research limitations/Future research-The research is built on a single cross-sectional study from one country during an extended humanitarian crisis. The majority of the empirical data is only from one actor’s perspective, thus further research into dyadic and network relationships is required. Further investigation is required into approaches to addressing the diverse cultural and decision-making perspectives of local and international NGOs. Practical Implications-Recognising the challenges and major elements to horizontal partnerships between local and international NGOs will assist managers, both at strategic and operational levels, to find solutions and evolve strategies to build effective partnerships. Compromise and consideration for partner’s drivers and cultural views are essential for effective humanitarian relief. Originality/Value- The research extends supply chain collaboration to a humanitarian context. Overcoming the challenges facing collaborative efforts and the complementary nature of the facilitators, drivers, and mechanisms provides a means to achieve effective partnerships. Despite the uniqueness of the humanitarian context, such as the secondary nature of cost and dynamic demand, the core principles of collaboration still hold. Keywords-Humanitarian, supply chain collaboration, partnerships, community-based organisations (CBOs), non-governmental organisations (NGOs), international NGOs (INGOs)

On the Cohomology of Central Frattini Extensions

We use topological methods to compute the mod p cohomology of certain p-groups. More precisely we look at central Frattini extensions of elementary abelian by elementary abelian groups such that their defining k-invariants span the entire image of the Bockstein. We show that if p is sufficiently large, then the mod p cohomology of the extension can be explicitly computed as an algebra

Twisted Orbifold K-Theory

We use equivariant methods to establish basic properties of orbifold K-theory. We introduce the notion of twisted orbifold K-theory in the presence of discrete torsion, and show how it can be explicitly computed for global quotients.Comment: 30 page