Perceptions of e-commerce as an academic discipline in Australian universities

This paper presents findings from a study on perceptions of e-commerce as an academic discipline in Australian universities. The study examined Australian universities\u27 perceptions on whether e-commerce should be regarded as a business-oriented discipline or a technology-oriented discipline and further whether e-commerce should be considered as a distinctive discipline. Data was collected from official websites of all Australian universities and was categorized in accordance to award titles, host faculty and program structures. Findings showed that most Australian universities perceived e-commerce as a business-oriented discipline. However, there was no consensus on whether e-commerce should be considered as a distinctive discipline.<br /

The odd primary order of the commutator on low rank Lie groups

Let $G$ be a simply-connected, compact, simple Lie group of low rank relative to a fixed prime $p$. After localization at $p$, there is a space $A$ which "generates" $G$ in a certain sense. Assuming $G$ satisfies a homotopy nilpotency condition relative to $p$, we show that the Samelson product $\langle Id_G, Id_G\rangle$ of the identity of $G$ equals the order of the Samelson product $\langle\imath,\imath\rangle$ of the inclusion $\imath:A\to G$. Applying this result, we calculate the orders of $\langle Id_G,Id_G\rangle$ for all $p$-regular Lie groups and give bounds on the orders of $\langle Id_G,Id_G\rangle$ for certain quasi-$p$-regular Lie groups.Comment: 18 pages; Accepted by Topology and its Application

Information Theoretic Operating Regimes of Large Wireless Networks

In analyzing the point-to-point wireless channel, insights about two qualitatively different operating regimes--bandwidth- and power-limited--have proven indispensable in the design of good communication schemes. In this paper, we propose a new scaling law formulation for wireless networks that allows us to develop a theory that is analogous to the point-to-point case. We identify fundamental operating regimes of wireless networks and derive architectural guidelines for the design of optimal schemes. Our analysis shows that in a given wireless network with arbitrary size, area, power, bandwidth, etc., there are three parameters of importance: the short-distance SNR, the long-distance SNR, and the power path loss exponent of the environment. Depending on these parameters we identify four qualitatively different regimes. One of these regimes is especially interesting since it is fundamentally a consequence of the heterogeneous nature of links in a network and does not occur in the point-to-point case; the network capacity is {\em both} power and bandwidth limited. This regime has thus far remained hidden due to the limitations of the existing formulation. Existing schemes, either multihop transmission or hierarchical cooperation, fail to achieve capacity in this regime; we propose a new hybrid scheme that achieves capacity.Comment: 12 pages, 5 figures, to appear in IEEE Transactions on Information Theor