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Groups St Andrews 2013

Groups St Andrews 2013 PDF Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 1316467910
Category : Mathematics
Languages : en
Pages : 503

Book Description
Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of those meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2013 meeting held in St Andrews. It begins with major articles from each of the four main speakers: Emmanuel Breuillard (Paris-Sud), Martin Liebeck (Imperial College London), Alan Reid (Texas) and Karen Vogtmann (Cornell). These are followed by, in alphabetical order, survey articles contributed by other conference participants, which cover a wide spectrum of modern group theory.

Groups St Andrews 2013

Groups St Andrews 2013 PDF Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 1316467910
Category : Mathematics
Languages : en
Pages : 503

Book Description
Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of those meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2013 meeting held in St Andrews. It begins with major articles from each of the four main speakers: Emmanuel Breuillard (Paris-Sud), Martin Liebeck (Imperial College London), Alan Reid (Texas) and Karen Vogtmann (Cornell). These are followed by, in alphabetical order, survey articles contributed by other conference participants, which cover a wide spectrum of modern group theory.

Groups St Andrews 2017 in Birmingham

Groups St Andrews 2017 in Birmingham PDF Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 1108602835
Category : Mathematics
Languages : en
Pages : 510

Book Description
This volume arises from the 2017 edition of the long-running 'Groups St Andrews' conference series and consists of expository papers from leading researchers in all areas of group theory. It provides a snapshot of the state-of-the-art in the field, and it will be a valuable resource for researchers and graduate students.

Finitely Presented Groups

Finitely Presented Groups PDF Author: Volker Diekert
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111474275
Category : Mathematics
Languages : en
Pages : 322

Book Description
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.

Groups St Andrews 2009 in Bath: Volume 1

Groups St Andrews 2009 in Bath: Volume 1 PDF Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 1139498274
Category : Mathematics
Languages : en
Pages : 310

Book Description
This first volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Gerhard Hiss and Volodymyr Nekrashevych, survey the latest developments in algebra.

Introduction to Hidden Semi-Markov Models

Introduction to Hidden Semi-Markov Models PDF Author: John van der Hoek
Publisher: Cambridge University Press
ISBN: 1108383904
Category : Mathematics
Languages : en
Pages : 186

Book Description
Markov chains and hidden Markov chains have applications in many areas of engineering and genomics. This book provides a basic introduction to the subject by first developing the theory of Markov processes in an elementary discrete time, finite state framework suitable for senior undergraduates and graduates. The authors then introduce semi-Markov chains and hidden semi-Markov chains, before developing related estimation and filtering results. Genomics applications are modelled by discrete observations of these hidden semi-Markov chains. This book contains new results and previously unpublished material not available elsewhere. The approach is rigorous and focused on applications.

Group Theory and Computation

Group Theory and Computation PDF Author: N.S. Narasimha Sastry
Publisher: Springer
ISBN: 9811320470
Category : Mathematics
Languages : en
Pages : 206

Book Description
This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory PDF Author: Gebhard Böckle
Publisher: Springer
ISBN: 3319705660
Category : Mathematics
Languages : en
Pages : 753

Book Description
This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

Groups, Graphs and Random Walks

Groups, Graphs and Random Walks PDF Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1316604403
Category : Mathematics
Languages : en
Pages : 539

Book Description
An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Advances in Two-Dimensional Homotopy and Combinatorial Group Theory PDF Author: Wolfgang Metzler
Publisher: Cambridge University Press
ISBN: 1316600904
Category : Mathematics
Languages : en
Pages : 193

Book Description
Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.

Permutation Groups and Cartesian Decompositions

Permutation Groups and Cartesian Decompositions PDF Author: Cheryl E. Praeger
Publisher: Cambridge University Press
ISBN: 131699905X
Category : Mathematics
Languages : en
Pages : 338

Book Description
Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are most useful for studying symmetric structures such as graphs, codes and designs. Modern treatments of the O'Nan–Scott theory are presented not only for primitive permutation groups but also for the larger families of quasiprimitive and innately transitive groups, including several classes of infinite permutation groups. Their precision is sharpened by the introduction of a cartesian decomposition concept. This facilitates reduction arguments for primitive groups analogous to those, using orbits and partitions, that reduce problems about general permutation groups to primitive groups. The results are particularly powerful for finite groups, where the finite simple group classification is invoked. Applications are given in algebra and combinatorics to group actions that preserve cartesian product structures. Students and researchers with an interest in mathematical symmetry will find the book enjoyable and useful.