Exam 1999 pdf

Exam questions and solutions in PDF

Exam 1999

Exam questions and solutions in LaTex

Exam 2000 pdf

Exam questions and solutions in PDF

Exam 2000

Exam questions and solutions in LaTex

Exam 2001 pdf

Exam questions and solutions in PDF

Exam 1998

Exam questions and solutions in LaTex

Exam 2001

Exam questions and solutions in LaTex

Exam 1998 pdf

Exam questions and solutions in PDF

Proximity, strategic groups and reputation: an exploratory study of reputation in higher education

This paper explores the idea that stakeholder proximity, that is, how much/little experience a stakeholder has with a focal organization, impacts the extent to which stakeholders rely on strategic group characteristics as an anchor when judging the reputation of higher education institutions. We synthesize theories from psychology (ie, cognitive categorization theory) and management (ie, strategic group theory) to explore how stakeholder proximity may influence the formation of organizational reputation. Specifically, we examine how the proximity of three key stakeholders (N=1,049; prospective students, parents of students and hiring managers of new graduates) influences the perceived strategic character and generalized favorability of three distinct groups of post-secondary institutions (research-intensive universities, teaching-intensive universities and career colleges). Our results suggest that high proximity stakeholders rely less on strategic group characteristics, while reputation at a strategic group level is suggested to have greater influence on stakeholders who have less direct experience of and low proximity to an organization. Interestingly, our findings reveal some consistent differences between perceptions of prospective students and hiring managers that pose important theoretical questions about the role and impact of direct experiences in the reputation-building process, while also suggesting that higher education institutions may benefit significantly from differentiated marketing strategies according to issues of proximity.

Symmetry breaking in the genetic code: Finite groups

We investigate the possibility of interpreting the degeneracy of the genetic code, i.e., the feature that different codons (base triplets) of DNA are transcribed into the same amino acid, as the result of a symmetry breaking process, in the context of finite groups. In the first part of this paper, we give the complete list of all codon representations (64-dimensional irreducible representations) of simple finite groups and their satellites (central extensions and extensions by outer automorphisms). In the second part, we analyze the branching rules for the codon representations found in the first part by computational methods, using a software package for computational group theory. The final result is a complete classification of the possible schemes, based on finite simple groups, that reproduce the multiplet structure of the genetic code. (C) 2010 Elsevier Ltd. All rights reserved.

Bicyclic units, Bass cyclic units and free groups

Let G be a finite group and ZG its integral group ring. We show that if alpha is a nontrivial bicyclic unit of ZG, then there are bicyclic units beta and gamma of different types, such that and are non-abelian free groups. In the case when G is non-abelian of order coprime to 6 we prove the existence of a bicyclic unit u and a Bass cyclic unit v in ZG, such that < u(m), v > is a free non-abelian group for all sufficiently large positive integers m.

Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane

We classify the ( finite and infinite) virtually cyclic subgroups of the pure braid groups P(n)(RP(2)) of the projective plane. The maximal finite subgroups of P(n)(RP(2)) are isomorphic to the quaternion group of order 8 if n = 3, and to Z(4) if n >= 4. Further, for all n >= 3, the following groups are, up to isomorphism, the infinite virtually cyclic subgroups of P(n)(RP(2)): Z, Z(2) x Z and the amalgamated product Z(4)*(Z2)Z(4).

Impact of the 1980 election on ideological liberal organizations

Throughout this section, I sought to establish a nexus between interest group theory and empirical observations. This in turn, would provide the framework from which I would set forth a series of hypotheses concerning the impact of the deviating 1980 elections on ideological liberal organizations. What I found in fact, was not just a link but a near perfect correlation between theory and practice, each reinforcing the other and pointing to the same ineluctable conclusion: The upshot of the Reagan/New Right landslide of 1980 was a dramatic renaissance of American liberalism. A renaissance so pervasive that ideological liberal organizations stand to benefit tremendously in terms of sustaining membership and raising funds. Moreover, it promises to facilitate the formation of liberal lobbying coalitions and enhance their capacity to cultivate grass roots support.

On the calculation of inner products of Schur functions

Two methods for calculating inner products of Schur functions in terms of outer products and plethysms are given and they are easy to implement on a machine. One of these is derived from a recent analysis of the SO(8) proton-neutron pairing model of atomic nuclei. The two methods allow for generation of inner products for the Schur functions of degree up to 20 and even beyond.

A homological version of the implicit function theorem

Our objective in this paper is to prove an Implicit Function Theorem for general topological spaces. As a consequence, we show that, under certain conditions, the set of the invertible elements of a topological monoid X is an open topological group in X and we use the classical topological group theory to conclude that this set is a Lie group.