Friends, Lovers and Groups

An authoritative, full-year course on both group theory and ordinary character theory–essential tools for mathematics and the physical sciences One of the few treatments available combining both group theory and character theory, Groups and Characters is an effective general textbook on these two fundamentally connected subjects. Presuming only a basic knowledge of abstract algebra as in a first-year graduate course, the text opens with a review of background material and then guides readers carefully through several of the most important aspects of groups and characters, concentrating mainly on finite groups. Challenging yet accessible, Groups and Characters features: * An extensive collection of examples surveying many different types of groups, including Sylow subgroups of symmetric groups, affine groups of fields, the Mathieu groups, and symplectic groups * A thorough, easy-to-follow discussion of Polya-Redfield enumeration, with applications to combinatorics * Inclusive explorations of the transfer function and normal complements, induction and restriction of characters, Clifford theory, characters of symmetric and alternating groups, Frobenius groups, and the Schur index * Illuminating accounts of several computational aspects of group theory, such as the Schreier-Sims algorithm, Todd-Coxeter coset enumeration, and algorithms for generating character tables As valuable as Groups and Characters will prove as a textbook for mathematicians, it has broader applications. With chapters suitable for use as independent review units, along with a full bibliography and index, it will be a dependable general reference for chemists, physicists, and crystallographers.

Peer Groups and Children’s Development considers the experiences of school-aged children with their peer groups and its implications for their social, personal and intellectual development Focuses on the peer group experiences of children attending school in Western societies, from five years of age through to adolescence Considers peer groups in classrooms, friendships made within and outside of school, and the groups that children participate in for extra-curricular activities Includes a final summary which brings together the significant implications for theory, policy and practice Unique in that no other volume reviews and integrates literature relating to peer groups in both classroom and out-of-class settings Addresses the research interests of psychologists and educationalists, as well as the practical concerns of teachers, parents, counsellors, and policy makers

With contributions from leading scholars in the field, Rebels in Groups brings together the latest research which, contrary to traditional views, considers dissent, deviance, difference and defiance to be a normal and healthy aspect of group life. Brings together the latest research on the role of dissent, deviance, difference and defiance within groups Presents a new approach which considers dissent, deviance, difference and defiance to be a normal and healthy aspect of group life Examines a broad range of groups, such as political groups, task groups, and teams in organizations Considers diverse fields of psychology, including social, organizational, and developmental psychology Contributors are among the leading scholars in their areas of psychology

Human Blood Groups is a comprehensive and fully referenced text covering both the scientific and clinical aspects of red cell surface antigens, including: serology, inheritance, biochemistry, molecular genetics, biological functions and clinical significance in transfusion medicine. Since the last edition, seven new blood group systems and over 60 new blood group antigens have been identified. All of the genes representing those systems have now been cloned and sequenced. This essential new information has made the launch of a third edition of Human Blood Groups, now in four colour, particularly timely. This book continues to be an essential reference source for all those who require clinical information on blood groups and antibodies in transfusion medicine and blood banking.

The second edition of Cognitive Therapy in Groups by Michael Free has been completely rewritten as a 25-session, structured programme of cognitive therapy in five modules. It is designed in an easy-to-present psycho-educational format that is intended for groups, but can also be used with individuals. It is sufficiently flexible for clinicians to use and adapt the resources for their own practice, and sufficiently specific to be used verbatim with a wide range of people suffering from emotional and behavioural problems. Web-based support resources include assessment tools, handouts and PowerPoint slides.

The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. «Cluster analysis is the increasingly important and practical subject of finding groupings in data. The authors set out to write a book for the user who does not necessarily have an extensive background in mathematics. They succeed very well.» —Mathematical Reviews «Finding Groups in Data [is] a clear, readable, and interesting presentation of a small number of clustering methods. In addition, the book introduced some interesting innovations of applied value to clustering literature.» —Journal of Classification «This is a very good, easy-to-read, and practical book. It has many nice features and is highly recommended for students and practitioners in various fields of study.» —Technometrics An introduction to the practical application of cluster analysis, this text presents a selection of methods that together can deal with most applications. These methods are chosen for their robustness, consistency, and general applicability. This book discusses various types of data, including interval-scaled and binary variables as well as similarity data, and explains how these can be transformed prior to clustering.

Discover applications of Fourier analysis on finite non-Abelian groups The majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non-Abelian groups provide notable advantages in efficient implementations of spectral methods. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis on finite non-Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non-Abelian groups. A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis. Next, the book examines recent achievements and discoveries in: Matrix interpretation of the fast Fourier transform Optimization of decision diagrams Functional expressions on quaternion groups Gibbs derivatives on finite groups Linear systems on finite non-Abelian groups Hilbert transform on finite groups Among the highlights is an in-depth coverage of applications of abstract harmonic analysis on finite non-Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self-contained, each with a list of references to facilitate the development of specialized courses or self-study. With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate-level students and researchers in signal processing, logic design, and system theory-as well as the more general topics of computer science and applied mathematics.

In the first work to comprehensively cover this all-important topic, the recognized expert Helmut Vorbruggen provides both organic and bioorganic chemists with much new and valuable information for preparative synthesis. Although every organic chemist may be familiar with different aspects of silylation for the protection of functional groups, this book covers the concept of protection while simultaneously silylating-activating various functional groups, such as amides and ureas. This novel methodology opens thus numerous synthetic pathways while effecting the elimination of water in it volatile persilylated form under rather mild reaction conditions, which are often advantageous compared to conventional methods. The compact form and clear structure of this monograph make this a long-awaited ready reference. From the contents: Introduction * Techniques of Preparative Silylations-Desilylations * Preparation and Properties of Siliconoxy-Leaving Groups * Reactions of Free and Derivatized Carboxylic Acids and Carbon Dioxide * Reactions of Aldehydes and Ketones * Reactions of Alcohols, Ethers and Epoxides * Reaction of N-O Systems * Reactions of S-O and Se-O Systems * Cyclizations and Ring Enlargements * Base and Acid-Catalyzed as well as Thermal Eliminations of Trimethylsilanol. Peterson Reactions * Formation of Carbon-Phosphorous Double- and Triple Bonds * Reductions and Oxidations * Dehydration-Activation as well as Silylation of Inorganic and Organic Salts and Metalorganic Compounds * Formation of Polymers