Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century, Van Den Essen Arno, Kuroda Shigeru, Crachiola Anthony J.
Автор: Arno van den Essen Название: Automorphisms of Affine Spaces ISBN: 904814566X ISBN-13(EAN): 9789048145669 Издательство: Springer Рейтинг: Цена: 20956.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
Автор: Josef Lauri Название: Topics in graph automorphisms and reconstruction ISBN: 0521529034 ISBN-13(EAN): 9780521529037 Издательство: Cambridge Academ Рейтинг: Цена: 5701.00 р. Наличие на складе: Поставка под заказ.
Описание: The aim of this book is to provide in depth coverage of selected areas of graph theory, and throughout the focus is mainly on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters, more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The four final chapters are devoted to the reconstruction problem, and here greater emphasis is given to those results that involve the symmetry of graphs. As much as possible, the authors have tried to present results and proofs which are not often to be found in textbooks. Any student who has mastered the contents of this book will be well prepared for current research in many aspects of the theory of graph automorphisms and the reconstruction problem.
Автор: Arno van den Essen Название: Polynomial Automorphisms ISBN: 3034895674 ISBN-13(EAN): 9783034895675 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest.
Описание: The automorphisms of a two-generator free group $\mathsf F_2$ acting on the space of orientation-preserving isometric actions of $\mathsf F_2$ on hyperbolic 3-space defines a dynamical system.
Описание: An original and self-contained treatment of some key ideas in the abstract theory of topological dynamics, focussing on the role of automorphisms and equivalence relations. This approach leads to simpler proofs of classical results and provides motivation for further study, making this lucid book ideal for graduate students and researchers.
Автор: Srivastava, Ashish K. (st Louis University, Missouri) Tuganbaev, Askar Guil Asensio, Pedro A. (universidad De Murcia, Spain) Название: Invariance of modules under automorphisms of their envelopes and covers ISBN: 1108949533 ISBN-13(EAN): 9781108949538 Издательство: Cambridge Academ Рейтинг: Цена: 6018.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first book on the topic of study of modules invariant under automorphisms of their envelopes and covers. Containing plentiful examples and open problems, it is a valuable resource for graduate students and researchers in algebra who wish to learn the state of the art in this area of module theory.
Автор: S. Murakami Название: On Automorphisms of Siegel Domains ISBN: 3540059857 ISBN-13(EAN): 9783540059851 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: V. Kharchenko Название: Automorphisms and Derivations of Associative Rings ISBN: 0792313828 ISBN-13(EAN): 9780792313823 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of automorphisms and derivations of associative rings is a direct descendant of the development of classical Galois theory. This volume presents an overview of the methods and results of that theory. It also discusses non-commutative invariants of linear groups; theorems of finite groups acting on modular lattices; and more.
Автор: Evgenii I. Khukhro Название: p-Automorphisms of Finite p-Groups ISBN: 052159717X ISBN-13(EAN): 9780521597173 Издательство: Cambridge Academ Рейтинг: Цена: 7443.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for graduate students and researchers working in the fields of group theory and Lie rings. Relevant preliminary material on Lie rings is introduced followed by the main theorems of the book on the solubility of finite p-groups. Includes over a hundred exercises.
Автор: Arno van den Essen Название: Automorphisms of Affine Spaces ISBN: 0792335236 ISBN-13(EAN): 9780792335238 Издательство: Springer Рейтинг: Цена: 20956.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role.
Автор: Inder Bir Singh Passi; Mahender Singh; Manoj Kumar Название: Automorphisms of Finite Groups ISBN: 9811328943 ISBN-13(EAN): 9789811328947 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.
Автор: Javier Aramayona; Volker Diekert; Christopher J. L Название: Algorithmic and Geometric Topics Around Free Groups and Automorphisms ISBN: 3319609394 ISBN-13(EAN): 9783319609393 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This volume presents the lecture notes from the authors' three summer courses offered during the program "Automorphisms of Free Groups: Geometry, Topology, and Dynamics," held at the Centre de Recerca Matem tica (CRM) in Bellaterra, Spain.
The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon's construction of Thurston's compactification of Teichm ller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.
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