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Author : Francesco De Giovanni
Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.3/5 (91 download)
Download or read book Advances in Group Theory 2002 written by Francesco De Giovanni and published by . This book was released on 2003 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven Roman
Publisher : Birkhäuser
ISBN 13 : 9780817683009
Total Pages : 380 pages
Book Rating : 4.6/5 (83 download)
Download or read book Fundamentals of Group Theory written by Steven Roman and published by Birkhäuser. This book was released on 2011-10-28 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area. This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
Author : F. De Giovanni
Publisher :
ISBN 13 : 9788825503692
Total Pages : 152 pages
Book Rating : 4.5/5 (36 download)
Download or read book Advances in Group Theory and Applications (2017) written by F. De Giovanni and published by . This book was released on 2017 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bana Al Subaiei
Publisher : Springer Nature
ISBN 13 : 9819901472
Total Pages : 429 pages
Book Rating : 4.8/5 (199 download)
Download or read book A Gentle Introduction to Group Theory written by Bana Al Subaiei and published by Springer Nature. This book was released on 2023-05-31 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics. The text is broadly divided into three parts. The first part establishes the prerequisite knowledge required to study group theory. This includes topics in set theory, geometry, and number theory. Each of the chapters ends with solved and unsolved exercises relating to the topic. By doing this, the authors hope to fill the gaps between all the branches in mathematics that are linked to group theory. The second part is the core of the book which discusses topics on semigroups, groups, symmetric groups, subgroups, homomorphisms, isomorphism, and Abelian groups. The last part of the book introduces SAGE, a mathematical software that is used to solve group theory problems. Here, most of the important commands in SAGE are explained, and many examples and exercises are provided.
Author : F. De Giovanni
Publisher :
ISBN 13 : 9788854890817
Total Pages : 152 pages
Book Rating : 4.8/5 (98 download)
Download or read book Advances in Group Theory and Applications (2016) written by F. De Giovanni and published by . This book was released on 2016 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bijan Davvaz
Publisher : Springer Nature
ISBN 13 : 9811661081
Total Pages : 285 pages
Book Rating : 4.8/5 (116 download)
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.
Author : Charles W. Danellis
Publisher :
ISBN 13 : 9781608761753
Total Pages : 0 pages
Book Rating : 4.7/5 (617 download)
Download or read book Group Theory written by Charles W. Danellis and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have strongly influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced tremendous advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, can be modelled by symmetry groups. Thus group theory and the closely related representation theory have many applications in physics and chemistry. This new and important book gathers the latest research from around the globe in the study of group theory and highlights such topics as: application of symmetry analysis to the description of ordered structures in crystals, a survey of Lie Group analysis, graph groupoids and representations, and others.
Author : Edward J. Lawler
Publisher : Jai Press
ISBN 13 : 9781559388726
Total Pages : 300 pages
Book Rating : 4.3/5 (887 download)
Download or read book Advances in Group Processes written by Edward J. Lawler and published by Jai Press. This book was released on 1995 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Group Processes publishes theoretical, review, and empirically-based papers on group phenomena. The series adopts a broad conception of 'group processes' consistent with prevailing ones in the social psychological literature. In addition to topics such as status processes, group structure, and decision making, the series considers work on interpersonal behavior in dyads (i.e. the smallest group). Contributors to the series include not only sociologists but also scholars from other disciplines, such as psychology and organizational behavior.
Author : J.P Gazeau
Publisher : CRC Press
ISBN 13 : 1482269074
Total Pages : 968 pages
Book Rating : 4.4/5 (822 download)
Download or read book GROUP 24 written by J.P Gazeau and published by CRC Press. This book was released on 2003-11-30 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but a
Author : Krishan L. Duggal
Publisher : American Mathematical Soc.
ISBN 13 : 0821833790
Total Pages : 214 pages
Book Rating : 4.8/5 (218 download)
Download or read book Recent Advances in Riemannian and Lorentzian Geometries written by Krishan L. Duggal and published by American Mathematical Soc.. This book was released on 2003 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers material presented by invited speakers at the AMS special session on Riemannian and Lorentzian geometries held at the annual Joint Mathematics Meetings in Baltimore. Topics covered include classification of curvature-related operators, curvature-homogeneous Einstein 4-manifolds, linear stability/instability singularity and hyperbolic operators of spacetimes, spectral geometry of holomorphic manifolds, cut loci of nilpotent Lie groups, conformal geometry of almost Hermitian manifolds, and also submanifolds of complex and contact spaces. This volume can serve as a good reference source and provide indications for further research. It is suitable for graduate students and research mathematicians interested in differential geometry.
Author : Wolfgang Metzler
Publisher : Cambridge University Press
ISBN 13 : 1316600904
Total Pages : 193 pages
Book Rating : 4.3/5 (166 download)
Download or read book Advances in Two-Dimensional Homotopy and Combinatorial Group Theory written by Wolfgang Metzler and published by Cambridge University Press. This book was released on 2018 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
Author : Martyn R. Dixon
Publisher : CRC Press
ISBN 13 : 1000848310
Total Pages : 411 pages
Book Rating : 4.0/5 (8 download)
Download or read book Infinite Groups written by Martyn R. Dixon and published by CRC Press. This book was released on 2022-12-30 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent times, group theory has found wider applications in various fields of algebra and mathematics in general. But in order to apply this or that result, you need to know about it, and such results are often diffuse and difficult to locate, necessitating that readers construct an extended search through multiple monographs, articles, and papers. Such readers must wade through the morass of concepts and auxiliary statements that are needed to understand the desired results, while it is initially unclear which of them are really needed and which ones can be dispensed with. A further difficulty that one may encounter might be concerned with the form or language in which a given result is presented. For example, if someone knows the basics of group theory, but does not know the theory of representations, and a group theoretical result is formulated in the language of representation theory, then that person is faced with the problem of translating this result into the language with which they are familiar, etc. Infinite Groups: A Roadmap to Some Classical Areas seeks to overcome this challenge. The book covers a broad swath of the theory of infinite groups, without giving proofs, but with all the concepts and auxiliary results necessary for understanding such results. In other words, this book is an extended directory, or a guide, to some of the more established areas of infinite groups. Features An excellent resource for a subject formerly lacking an accessible and in-depth reference Suitable for graduate students, PhD students, and researchers working in group theory Introduces the reader to the most important methods, ideas, approaches, and constructions in infinite group theory.
Author : Kailash C. Misra
Publisher : American Mathematical Soc.
ISBN 13 : 0821869175
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)
Download or read book Recent Developments in Lie Algebras, Groups and Representation Theory written by Kailash C. Misra and published by American Mathematical Soc.. This book was released on 2012 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.
Author : Sean Cleary
Publisher : American Mathematical Soc.
ISBN 13 : 0821828223
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)
Download or read book Combinatorial and Geometric Group Theory written by Sean Cleary and published by American Mathematical Soc.. This book was released on 2002 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.
Author : Robert H. Gilman
Publisher : American Mathematical Soc.
ISBN 13 : 0821831585
Total Pages : 138 pages
Book Rating : 4.8/5 (218 download)
Download or read book Computational and Statistical Group Theory written by Robert H. Gilman and published by American Mathematical Soc.. This book was released on 2002 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a nice overview of the diversity of current trends in computational and statistical group theory. It presents the latest research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms, quantum automata, and more. It includes contributions by speakers at AMS Special Sessions at The University of Nevada (Las Vegas) and the Stevens Institute of Technology (Hoboken, NJ). It is suitable for graduate students and research mathematicians interested in group theory.
Author : Frédérique Bassino
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110667029
Total Pages : 386 pages
Book Rating : 4.1/5 (16 download)
Download or read book Complexity and Randomness in Group Theory written by Frédérique Bassino and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.
Author : Volker Diekert
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111474275
Total Pages : 322 pages
Book Rating : 4.1/5 (114 download)
Download or read book Finitely Presented Groups written by Volker Diekert and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-10-07 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.
