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| Author | : C. M. Campbell |
| Publisher | : Cambridge University Press |
| Total Pages | : 310 |
| Release | : 2011-06-16 |
| Genre | : Mathematics |
| ISBN | : 1139498274 |
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.
| Author | : C. M. Campbell |
| Publisher | : Cambridge University Press |
| Total Pages | : 503 |
| Release | : 2015-10-22 |
| Genre | : Mathematics |
| ISBN | : 1107514541 |
Leading researchers survey the latest developments in group theory and many related areas.
| Author | : Martyn R. Dixon |
| Publisher | : CRC Press |
| Total Pages | : 329 |
| Release | : 2020-04-03 |
| Genre | : Mathematics |
| ISBN | : 1351008021 |
Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to this topic is enormous, and there are many monographs concerned with matrix groups, ranging from old, classical texts to ones published more recently. However, in the case when the dimension is infinite (and such cases arise quite often), the reality is quite different. The situation with the study of infinite dimensional linear groups is like the situation that has developed in the theory of groups, in the transition from the study of finite groups to the study of infinite groups which appeared about one hundred years ago. It is well known that this transition was extremely efficient and led to the development of a rich and central branch of algebra: Infinite group theory. The hope is that this book can be part of a similar transition in the field of linear groups. Features This is the first book dedicated to infinite-dimensional linear groups This is written for experts and graduate students specializing in algebra and parallel disciplines This book discusses a very new theory and accumulates many important and useful results
| Author | : Volodymyr Nekrashevych |
| Publisher | : American Mathematical Society |
| Total Pages | : 708 |
| Release | : 2022-10-07 |
| Genre | : Mathematics |
| ISBN | : 1470463806 |
This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of dynamical origin using the structure of their orbits and associated groupoids of germs, applications of the iterated monodromy groups to hyperbolic dynamical systems, topological full groups and their properties, amenable groups, groups of intermediate growth, and other topics. The book is suitable for graduate students and researchers interested in group theory, transformations defined by automata, topological and holomorphic dynamics, and theory of topological groupoids. Each chapter is supplemented by exercises of various levels of complexity.
| Author | : Paul Baginski |
| Publisher | : World Scientific |
| Total Pages | : 258 |
| Release | : 2017-12-26 |
| Genre | : Mathematics |
| ISBN | : 9813204060 |
The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.
| Author | : Paolo Aluffi |
| Publisher | : Cambridge University Press |
| Total Pages | : 418 |
| Release | : 2022-04-07 |
| Genre | : Mathematics |
| ISBN | : 1108890539 |
Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
| Author | : Grant Walker |
| Publisher | : Cambridge University Press |
| Total Pages | : 371 |
| Release | : 2018 |
| Genre | : Mathematics |
| ISBN | : 1108414486 |
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
| Author | : Manfred Droste |
| Publisher | : Springer |
| Total Pages | : 493 |
| Release | : 2017-06-02 |
| Genre | : Mathematics |
| ISBN | : 331951718X |
This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.
| Author | : Mika Seppälä |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 242 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0821868691 |
This volume contains the proceedings of three AMS Special Sessions on Computational Algebraic and Analytic Geometry for Low-Dimensional Varieties held January 8, 2007, in New Orleans, LA; January 6, 2009, in Washington, DC; and January 6, 2011, in New Orleans, LA. Algebraic, analytic, and geometric methods are used to study algebraic curves and Riemann surfaces from a variety of points of view. The object of the study is the same. The methods are different. The fact that a multitude of methods, stemming from very different mathematical cultures, can be used to study the same objects makes this area both fascinating and challenging.
| Author | : Mariana Durcheva |
| Publisher | : Cambridge Scholars Publishing |
| Total Pages | : 132 |
| Release | : 2019-11-12 |
| Genre | : Mathematics |
| ISBN | : 1527543315 |
Semirings as an algebraic structure have been known since 1934, but remained unapplied for mathematical purposes for a long time. It has only been in the past decade that they have been used in cryptography. The advantage of (additively) idempotent semirings is that the additive operation does not have an inverse, which can help in preventing the breakage of a cryptosystem. This book describes a number of cryptographic protocols, as well as the hard mathematical problems on which their security is based. It will appeal to cryptographers and specialists in applied algebra.
