Thesis (Ph. D.)--Ohio State University, 1972. / Includes vita. Includes bibliographical references (leaves 133-136). Available online via OhioLINK's ETD Center.

Thesis (M.S.)--University of Wisconsin--Madison, 1972. / Title from title screen (viewed Sept. 20, 2007). Includes bibliographical references. Online version of the print original.

Thesis (Ph. D.)--University of Glasgow, 1998. / Print version also available.

The present study was designed to investigate the relationship between cohesiveness and productivity in small groups. A review of the pertinent literature revealed various approaches to the problem and conflicting findings concerning it. This study was confined to investigating such a relationship in a leaderless, discussion-type setting. Groups representative of three degrees of cohesiveness were investigated. The three types of groups were as follows: "Highly structured", -a group in which each member is chosen by every other member, and all choices are confined within the group. (All choices were made on a sociometric basis.) "Semi-structured", -a group in which the majority of members choose other members, but the majority of choices are not mutual, and all choices are not confined within the group. "Unstructured", -a group in which no choices occur within the group. On the basis of findings from other studies conducted in similar settings two hypotheses were advanced: 1. That a group which is either partially or highly structured will be more productive in carrying out a working project than a group which is relatively unstructured. 2. That a semi-structured group will be more productive in carrying out a working project than a highly structured group. The study was carried out at a summer camp consisting of seventy-one girls aged twelve to fourteen. From the camp groups of four girls each were chosen to represent the three degrees of cohesive-ness listed above. These groups were equated as far as possible for age, motivation, and social acceptance. Each group was asked to prepare and present an original skit. Group interaction was observed in order to gain fuller and more comprehensive data concerning the relationship under investigation. Group productivity was assessed by means of judges’ ratings of the performances. These ratings indicated a direct relationship between cohesiveness and productivity in this experiment, such that the more cohesive a group the greater its productivity. Analysis of the interaction data suggested that productivity was also affected by time and by the type of interaction present, both of which may or may not be related to cohesiveness. Further investigation is indicated. / Arts, Faculty of / Psychology, Department of / Graduate

The matrices of the inequivalent irreducible representations of the space group D[symbol omitted] (Pnma in international symbols) are derived. The allowable representations of the groups of the k-vectors are obtained from certain ray representations of the corresponding point groups. From these allowable representations the irreducible representations of the entire space group are induced. The results are presented in a systematically arranged set of tables. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

This thesis is a survey of some recent results concerning torsion free abelian groups, hereafter referred to as groups. The emphasis is on countable groups, particularly groups of finite rank. Section 1 contains the introduction and some notation used throughout this thesis. We begin in section 2 by describing the general nature of the existing characterizations for countable groups and by describing why these characterizations do not provide satisfactory systems of invariants. We include here a brief description of a classification for groups of arbitrary power. Pathologies of groups are discussed in section 3. We briefly discuss rank one groups and completely decomposable groups and then present examples to show the vast number of indecomposable groups which exist and that a group may have two different decompositions into the direct sum of indecomposable groups. Quasi-isomorphism and the ring of quasi-endomorphisms of a group are introduced in section 4 and discussed briefly. We present the theorems which establish the importance of these notions; namely that (i) quasi-decompositions of certain groups are unique up to quasi-isomorphism and (ii) the quasi-decomposition theory of certain groups is equivalent to the decomposition theory of the quasi-endomorphism ring considered as a right module over itself. Included under 'certain groups’ are the groups of finite rank. Section 5 is devoted to rank two groups. We outline the development of the quasi-isomorphism invariants for rank two groups, due to Beaumont and Pierce, and discuss some of their applications. For example, conditions, in terms of the invariants, are given for quasi-isomorphic rank two groups to be isomorphic. Type sets are reviewed in section 6. We present both necessary and sufficient conditions for sets of types to be the type sets of rank two groups and of groups of arbitrary finite rank. We devote section 7 to a brief discussion of the notion and importance of quasi-essential groups. The ideas of irreducibility and the psuedo-socle are defined in section 8. We demonstrate how these ideas affect the structure of the quasi-endomorphism ring by showing how they can be used to compete the quasi-endomorphism ring of rank two groups. / Science, Faculty of / Mathematics, Department of / Graduate

The concept of a free group is discussed first in Chapter 1 and in Chapter 2 the tensor product of two groups for which we write A⊗B is defined by "factoring out" an appropriate subgroup of the free group on the Cartesian product of the two groups. The existence of a unique homomorphism h : A⊗B→H is assured by the existence of a bilinear map f : A×B→H , where H is any group (Lemma 2-2) and this property of the tensor product is used extensively throughout the thesis. In Chapter 3 the complete characterization is given for the tensor product of two arbitrary finitely generated groups. In the last chapter we discuss the structure of A⊗B for arbitrary groups. Essentially, the only complete characterizations are for those cases where one of the two groups is torsion. Many theorems from the theory of Abelian Groups are assumed but some considered interesting are proved herein. / Science, Faculty of / Mathematics, Department of / Graduate

By a group we will mean a finite soluble group. It is an interesting fact, (Pardoe [1]), that the subgroup closure of the class of groups P[symbol omitted], those with a unique complemented chief series, is all groups. Let X be the class of groups with a complemented chief series. We investigate the action of closure operations T such that TX = X upon P[symbol omitted]. The purpose of this is to find a collection of such closure operations whose join applied to P[symbol omitted] is X . In the course of this investigation we introduce a new closure operation M defined by; MY = { G | G = <X₁,•••,Xn>, X₁ ɛ Y, X₁ sn G, ( |G : X₁|,•••,|G : Xn| ) = 1 } / Science, Faculty of / Mathematics, Department of / Graduate

Includes bibliographical references (leaves 87-90) / The objective of this project was to test the efficacy of using Extensible Markup Language (XML) - in particular the DocBook 5.0b5 schema - and Extensible Stylesheet Language Transformation (XSLT) to render electronic courseware that can be dynamically re-formatted according to a student's individual learning style. The text of a typical lesson was marked up in XML according to the DocBook schema, and several XSLT stylesheets were created to transform the XML document into different versions, each according to particular learning needs. These learning needs were drawn from the Felder-Silverman learning style model. The notes had links to trigger JavaScript functions that allowed the student to reformat the notes to produce different views of the lesson.

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