Thesis (Ph. D.)--Cornell University. / From the American journal of mathematics, v. 26, no. 1.

Thesis (Ph. D.)--Cornell University. / From the American journal of mathematics, v. 26, no. 1.

M.A. (Psychology) / Group therapy is one of the range of applications of psychotherapies generally accepted in the practice of psychology today. The objective of this literature survey is to give a general overview of the theory and practice of group therapy. An overview of the development of the therapeutic use of groups, indicates that the original didactic, individually-orientated approach to groups, was influenced by a variety of theoretical viewpoints. The period following the Second World War was characterised by difficulty and controversy regarding the theoretical approach to groups, and it was only from the nineteen sixties onward that the social nature of human problems was acknowledged. Investigation into the development of group therapy revealed that a great deal of attention was given to the development of different theoretical models. Within the scope of this paper only the most important developmental aspects are covered, with specific emphasis on the theory of Yalom (1985). In the literature, Yalom is generally regarded as an important contributor to the development of group therapy, as his research, theory and practice accomplished an integration of the various group therapies. Yalom, in his approach, separates the group into front and core aspects. The front consists of the form, language and techniques of each of the schools of therapy, while the core described that which is intrinsic to the therapeutic process, namely the mechanisms of change. Yalom also emphasises the therapeutic factors necessary for effective group therapy, irrespective of the underlying theory or technique. This approach lends itself to be regarded as an integration theory.

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The units in the group ring for S₃ over the integers are investigated. It is shown that the only units of finite order are of order two, three or six. Infinite classes of units of each of these orders are constructed as well as an infinite class of units of infinite order. The equation G = AA T, where G is a unimodular group matrix of rational integers and A a matrix of rational integers, is investigated in the ring of group matrices for S₃. It is shown that A = CP, where C is a unimodular group matrix of rational integers and P a generalized permutation matrix. It is also shown that if H is a positive definite symmetric unimodular group matrix then H = H₁H₁ T where H₁ is a group matrix of rational integers and H is of infinite order except in the trivial case when H = I. / Science, Faculty of / Mathematics, Department of / Graduate

One of the existing methods of calculating the characters of irreducible representations of space groups and double space groups is described in some detail, and applied to the case of the non-symmorphic space group D¹⁹ ₄h (I4₁/amd) (which is the space group of crystals of white tin). A complete list of the characters of irreducible representations of this space group and the corresponding double group is given. Some useful relations involving the characters are also included. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

In this thesis we obtain all the ordinary irreducible characters of Weyl groups of rank ≤4 by using MacDonald' s method. This method enables us to find almost all the characters, and the remaining ones may be obtained by combining MacDonald characters and characters of exterior products of the reflection representation. / Science, Faculty of / Mathematics, Department of / Graduate

The study examines the effects of being observed via a one-way screen on individuals' ability to learn competitive and non-competitive lists of paired associates. A between-groups design was used, with different subjects serving in each of the four experimental groups. The study was initially carried out with male business administration students at the University of Washington and was repeated with student nurses at the University of British Columbia. All subjects were administered the Manifest Anxiety Scale (Taylor, 1953) and the Suspiciousness Scale (Endicott et al., 1969). The results showed that the male subjects were not significantly affected by observation from behind a one-way screen but that the females made significantly more errors on the competitive list when observed as opposed to when not observed. In learning the non-competitive list the females were also not affected by- observation, but the overall observation-by-list interaction was significant for the females. No relationships were found between performances on the experimental task and the Manifest Anxiety Scale scores for either males or females. Suspiciousness Scale scores were significantly and negatively related to the number of errors made by the males when the four experimental groups were combined; this relationship approached significance for the females. Implications for further research are discussed. / Arts, Faculty of / Psychology, Department of / Graduate