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New Horizons in pro p Groups by Marcus du Sautoy

Title New Horizons in pro p Groups
Author Marcus du Sautoy
Publisher Springer Science & Business Media
Release 2000-05-25
Category Mathematics
Total Pages 423
ISBN 9780817641719
Language English, Spanish, and French
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Book Summary:

The impetus for current research in pro-p groups comes from four main directions: from new applications in number theory, which continue to be a source of deep and challenging problems; from the traditional problem of classifying finite p-groups; from questions arising in infinite group theory; and finally, from the younger subject of 'profinite group theory'. A correspondingly diverse range of mathematical techniques is being successfully applied, leading to new results and pointing to exciting new directions of research. In this work important theoretical developments are carefully presented by leading mathematicians in the field, bringing the reader to the cutting edge of current research. With a systematic emphasis on the construction and examination of many classes of examples, the book presents a clear picture of the rich universe of pro-p groups, in its unity and diversity. Thirty open problems are discussed in the appendix. For graduate students and researchers in group theory, number theory, and algebra, this work will be an indispensable reference text and a rich source of promising avenues for further exploration.

Theory of Finite Simple Groups by Gerhard Michler

Title Theory of Finite Simple Groups
Author Gerhard Michler
Publisher Cambridge University Press
Release 2006-09-21
Category Mathematics
Total Pages 662
ISBN 0521866251
Language English, Spanish, and French
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Book Summary:

The first representation theoretic and algorithmic approach to the theory of abstract finite simple groups.

Title Lectures on Groups and Vector Spaces for Physicists
Author C. J. Isham
Publisher World Scientific
Release 1989
Category Science
Total Pages 219
ISBN 9789971509552
Language English, Spanish, and French
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Book Summary:

These notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option. The subject of ?Algebra and Groups? is of considerable importance in a number of branches of modern theoretical physics, and therefore one major objective of the course is to introduce the students to the basic ideas on the subject, bearing in mind the potential applications to quantum theory. However, another equally important aim of the course is to introduce the student to the art of genuine ?mathematical? thinking. The notes are therefore written in a more precise mathematical style than is usually the case in courses aimed at physics students. Quite apart from the general educational value of such an exposure to abstract thinking, it is also the case that much modern theoretical physics draws on sophisticated ideas from pure mathematics and therefore it is most important that a perspective graduate student can approach these subjects without experiencing a total culture shock! The course is divided into three parts. The first is a short introduction to general group theory, with particular emphasis being placed on the matrix Lie groups that play such a crucial role in modern theoretical physics. The second part deals with the theory of vector spaces, with particular attention being paid to the theory of Hilbert spaces and the basic analytical techniques that are needed to handle the infinite dimensional situation. The final part of the course is a short introduction to the theory of group representations and the associated theory of characters.

Two Groups of Thessalian Gold by Stella G. Miller

Title Two Groups of Thessalian Gold
Author Stella G. Miller
Publisher Univ of California Press
Release 1979
Category Goldwork
Total Pages 78
ISBN 9780520095809
Language English, Spanish, and French
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Book Summary:

Title Representations of Finite and Compact Groups
Author Barry Simon
Publisher American Mathematical Soc.
Release
Category Mathematics
Total Pages 266
ISBN 9780821871966
Language English, Spanish, and French
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Book Summary:

This book is a comprehensive pedagogical presentation of the theory of representation of finite and compact Lie groups that would be of interest to research mathematicians and graduate students interested in group theory and generalizations, topological groups, and Lie groups. Representation theory is discussed on finite groups of rotations, permutation groups, and classical compact Lie groups. The Weyl character formula is proved.

Title EBOOK E Learning Groups and Communities
Author David McConnell
Publisher McGraw-Hill Education (UK)
Release 2006-03-16
Category Education
Total Pages 224
ISBN 0335226396
Language English, Spanish, and French
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Book Summary:

This book outlines approaches to networked e-learning course design that are underpinned by a belief that students learn best in these contexts when they are organised in groups and communities. As such, the book is one of the first to provide a detailed analysis of what goes on in e-learning groups and communities.

Title Theory of Lattice Ordered Groups
Author Michael Darnel
Publisher CRC Press
Release 1994-11-15
Category Mathematics
Total Pages 560
ISBN 9780824793265
Language English, Spanish, and French
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Book Summary:

Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.

Small Groups by John M. Levine

Title Small Groups
Author John M. Levine
Publisher Psychology Press
Release 2008-02-19
Category Psychology
Total Pages 568
ISBN 1135471401
Language English, Spanish, and French
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Book Summary:

Research on small groups is highly diverse because investigators who study such groups vary in their disciplinary identifications, theoretical interests, and methodological preferences. The goal of this volume is to capture that diversity, and thereby convey the breadth and excitement of small group research by acquainting students with work on five fundamental aspects of groups. The volume also includes an introductory chapter by the editors which provides an overview of the history of and current state-of-the-art in the field. Together with introductions to each section, discussion questions and suggestions for further reading, make the volume ideal reading for senior undergraduate and graduate students interested in group dynamics.

Groups by Glyn Elwyn

Title Groups
Author Glyn Elwyn
Publisher CRC Press
Release 2018-04-19
Category Medical
Total Pages 192
ISBN 1315348292
Language English, Spanish, and French
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Book Summary:

In this introductory text, the author presents the law relating to child care and the reforms introduced by the Children Act 1989, assessing its impact on child care practice and procedures. Focusing on a practical interpretation of the law by the use of hypothetical examples, practice notes and recommendations, the book illustrates its relevance to those working in the caring and health professions, and incorporates details of various sets of Guidance and Regualtions issued by the Department of Health. In addition it provides an outline of adoption law, the principles of consent to treatment and the effect of surrogacy and "assisted reproduction" on the legal definition of parenthood.

Title Yakov Berkovich Zvonimir Janko Groups of Prime Power Order
Author Yakov G. Berkovich
Publisher Walter de Gruyter GmbH & Co KG
Release 2018-06-25
Category Mathematics
Total Pages 406
ISBN 3110533146
Language English, Spanish, and French
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Book Summary:

This is the sixth volume of a comprehensive and elementary treatment of finite group theory. This volume contains many hundreds of original exercises (including solutions for the more difficult ones) and an extended list of about 1000 open problems. The current book is based on Volumes 1–5 and it is suitable for researchers and graduate students working in group theory.

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