Download or read book Presentations of Groups written by D. L. Johnson and published by Cambridge University Press. This book was released on 1997-05-15 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide an introduction to combinatorial group theory. Any reader who has completed first courses in linear algebra, group theory and ring theory will find this book accessible. The emphasis is on computational techniques but rigorous proofs of all theorems are supplied.This new edition has been revised throughout, including new exercises and an additional chapter on proving that certain groups are infinite.
Download or read book Topics in the Theory of Group Presentations written by D. L. Johnson and published by Cambridge University Press. This book was released on 1980-07-31 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author's earlier book in this series, which arose from lectures to final-year undergraduates and first-year graduates at the University of Nottingham. Many new examples and exercises have been added and the treatment of a number of topics has been improved and expanded. In addition, there are new chapters on the triangle groups, small cancellation theory and groups from topology. The connections between the theory of group presentations and other areas of mathematics are emphasized throughout. The book can be used as a text for beginning research students and, for specialists in other fields, serves as an introduction both to the subject and to more advanced treatises.
Download or read book The Bounded and Precise Word Problems for Presentations of Groups written by S. V. Ivanov and published by American Mathematical Soc.. This book was released on 2020-05-13 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author introduces and studies the bounded word problem and the precise word problem for groups given by means of generators and defining relations. For example, for every finitely presented group, the bounded word problem is in NP, i.e., it can be solved in nondeterministic polynomial time, and the precise word problem is in PSPACE, i.e., it can be solved in polynomial space. The main technical result of the paper states that, for certain finite presentations of groups, which include the Baumslag-Solitar one-relator groups and free products of cyclic groups, the bounded word problem and the precise word problem can be solved in polylogarithmic space. As consequences of developed techniques that can be described as calculus of brackets, the author obtains polylogarithmic space bounds for the computational complexity of the diagram problem for free groups, for the width problem for elements of free groups, and for computation of the area defined by polygonal singular closed curves in the plane. The author also obtains polynomial time bounds for these problems.
Download or read book Combinatorial Group Theory written by Wilhelm Magnus and published by Courier Corporation. This book was released on 2004-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.
Download or read book Visual Group Theory written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
Download or read book Groups Graphs and Trees written by John Meier and published by Cambridge University Press. This book was released on 2008-07-31 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core techniques and theorems are developed and recent research is explored. Exercises and figures throughout the text encourage the development of geometric intuition. Ideal for advanced undergraduates looking to deepen their understanding of groups, this book will also be of interest to graduate students and researchers as a gentle introduction to geometric group theory.
Download or read book Presentation Patterns written by Neal Ford and published by Addison-Wesley. This book was released on 2012-08-15 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presentation Patterns is the first book on presentations that categorizes and organizes the building blocks (or patterns) that you’ll need to communicate effectively using presentation tools like Keynote and PowerPoint. Patterns are like the lower-level steps found inside recipes; they are the techniques you must master to be considered a master chef or master presenter. You can use the patterns in this book to construct your own recipes for different contexts, such as business meetings, technical demonstrations, scientific expositions, and keynotes, just to name a few. Although there are no such things as antirecipes, this book shows you lots of antipatterns—things you should avoid doing in presentations. Modern presentation tools often encourage ineffective presentation techniques, but this book shows you how to avoid them. Each pattern is introduced with a memorable name, a definition, and a brief explanation of motivation. Readers learn where the pattern applies, the consequences of applying it, and how to apply it. The authors also identify critical antipatterns: clichés, fallacies, and design mistakes that cause presentations to disappoint. These problems are easy to avoid—once you know how. Presentation Patterns will help you Plan what you’ll say, who you’ll say it to, how long you’ll talk, and where you’ll present Perfectly calibrate your presentation to your audience Use the storyteller’s “narrative arc” to full advantage Strengthen your credibility—and avoid mistakes that hurt it Hone your message before you ever touch presentation software Incorporate visuals that support your message instead of hindering it Create highly effective “infodecks” that work when you’re not able to deliver a talk in person Construct slides that really communicate and avoid “Ant Fonts,” “Floodmarks,” “Alienating Artifacts,” and other errors Master 13 powerful techniques for delivering your presentation with power, authority, and clarity Whether you use this book as a handy reference or read it from start to finish, it will be a revelation: an entirely new language for systematically planning, creating, and delivering more powerful presentations. You’ll quickly find it indispensable—no matter what you’re presenting, who your audiences are, or what message you’re driving home.
Download or read book Computation with Finitely Presented Groups written by Charles C. Sims and published by Cambridge University Press. This book was released on 1994-01-28 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.
Download or read book A Student s Guide to Presentations written by Barbara Chivers and published by SAGE. This book was released on 2007-09-27 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you daunted by the prospect of doing a presentation or just keen to improve your presentation skills? This book gives you a detailed guide to the preparation and delivery of both individual and group presentations. It takes you through all the practical stages necessary to complete a presentation and obtain excellent marks. Key features include: Real life examples illustrating effective presentation techniques Helpful tips and illustrations throughout A 10 step guide to preparing your presentation Tips on using PowerPoint effectively A companion website complete with a student resource centre. Written in a clear and accessible style this book is essential reading for both undergraduate and postgraduate students who have to conduct graded presentations. Visit the companion website for free online support resources. SAGE Study Skills are essential study guides for students of all levels. From how to write great essays and succeeding at university, to writing your undergraduate dissertation and doing postgraduate research, SAGE Study Skills help you get the best from your time at university. Visit the SAGE Study Skills websitefor tips, quizzes and videos on study success!
Download or read book Provability Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection
Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Download or read book Groups and Symmetry written by Bijan Davvaz and published by Springer Nature. This book was released on 2021-11-17 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow’s theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
Download or read book Multicultural Curriculum Transformation in Social Studies and Civic Education written by Kenneth J. Fasching-Varner and published by Rowman & Littlefield. This book was released on 2021-07-12 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on multicultural curriculum transformation in social students and civic education subject areas. The discussion of each area outlines critical considerations for multicultural curriculum transformation for the area by grade level and then by eight organizing tools, including content standards, relationships with and among students and their families, and evaluation of student learning and teaching effectiveness. The volume is designed to speak with PK-12 teachers as colleagues in the multicultural curriculum transformation work. Readers are exposed to “things to think about,” but also given curricular examples to work with or from in going about the actual, concrete work of curriculum change. This work supports PK-12 teachers to independently multiculturally adapt existing curriculum, to create new multicultural curriculum differentiated by content areas and grade levels, and by providing ample examples of what such multicultural transformed social studies and civic education curricula looks like in practice.
Download or read book Overcoming the Five Dysfunctions of a Team written by Patrick M. Lencioni and published by John Wiley & Sons. This book was released on 2010-06-03 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical exercises and hands-on tools to bring to life the timeless advice found in the author’s best-selling book, The Five Dysfunctions of a Team In the years following the publication of Patrick Lencioni's best seller, The Five Dysfunctions of a Team, fans have been clamoring for more information on how to implement the ideas outlined in the book. In Overcoming the Five Dysfunctions of a Team, Lencioni offers specific, practical guidance for overcoming the five dysfunctions, using tools, exercises, assessments, and real-world examples. He examines questions that all teams must ask themselves: Are we really a team? How are we currently performing? Are we prepared to invest the time and energy required to be a great team? Written concisely and to the point, this guide gives leaders, line managers, and consultants alike the tools they need to get their teams up and running quickly and effectively.
Download or read book Real Philly History Real Fast written by Jim Murphy and published by Temple University Press. This book was released on 2021-06-18 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An alternative, history-focused guidebook to a selection of Philadelphia's heroes and notable places"--
Download or read book Groups Korea 94 written by A.C. Kim and published by Walter de Gruyter. This book was released on 2011-06-15 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Download or read book Handbook of Computational Group Theory written by Derek F. Holt and published by CRC Press. This book was released on 2005-01-13 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundame
