Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane, William Goldman, Greg McShane, George Stantchev, Ser Peow Tan

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
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Цена: 23280.00 T
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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.

Автор: Carles Broto, Jesper M. Moller, Bob Oliver
Название: Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type
ISBN: 1470437724 ISBN-13(EAN): 9781470437725
Издательство: Mare Nostrum (Eurospan)
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Цена: 76690.00 T
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Описание: For a finite group $G$ of Lie type and a prime $p$, the authors compare the automorphism groups of the fusion and linking systems of $G$ at $p$ with the automorphism group of $G$ itself. When $p$ is the defining characteristic of $G$, they are all isomorphic, with a very short list of exceptions.

Автор: Arno van den Essen
Название: Automorphisms of Affine Spaces
ISBN: 0792335236 ISBN-13(EAN): 9780792335238
Издательство: Springer
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Цена: 139710.00 T
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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: Evgenii I. Khukhro
Название: p-Automorphisms of Finite p-Groups
ISBN: 052159717X ISBN-13(EAN): 9780521597173
Издательство: Cambridge Academ
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Цена: 49620.00 T
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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: Alexandrino Marcos M.
Название: Lie Groups and Geometric Aspects of Isometric Actions
ISBN: 3319166123 ISBN-13(EAN): 9783319166124
Издательство: Springer
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Цена: 79190.00 T
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Описание: This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries.

Автор: Marcos M. Alexandrino; Renato G. Bettiol
Название: Lie Groups and Geometric Aspects of Isometric Actions
ISBN: 3319386271 ISBN-13(EAN): 9783319386270
Издательство: Springer
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Цена: 79190.00 T
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Описание: This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries.

Автор: F. Dahmani, V. Guirardel, D. Osin
Название: Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces
ISBN: 1470421941 ISBN-13(EAN): 9781470421946
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Introduces and studies the notions of hyperbolically embedded and very rotating families of subgroups. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes.

Автор: Koji Fujiwara, Sadayoshi Kojima, Ken`ichi Ohshika
Название: Hyperbolic Geometry and Geometric Group Theory
ISBN: 4864970424 ISBN-13(EAN): 9784864970426
Издательство: Mare Nostrum (Eurospan)
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Цена: 62830.00 T
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Описание: The 7th Seasonal Institute of the Mathematical Society of Japan on Hyperbolic Geometry and Geometric Group Theory was held in 2014, at the University of Tokyo. This volume, the proceedings of the meeting, collects survey and research articles in this fast-growing field by international specialists.

Автор: Tushar Das, David Simmons, Mariusz Urbanski
Название: Geometry and Dynamics in Gromov Hyperbolic Metric Spaces: With an Emphasis on Non-Proper Settings
ISBN: 1470434652 ISBN-13(EAN): 9781470434656
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.

Автор: Shoshichi Kobayashi
Название: Hyperbolic Complex Spaces
ISBN: 3642083390 ISBN-13(EAN): 9783642083396
Издательство: Springer
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Цена: 88500.00 T
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Описание: In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Caratheodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.

Автор: Michel Coornaert; Athanase Papadopoulos
Название: Symbolic Dynamics and Hyperbolic Groups
ISBN: 3540564993 ISBN-13(EAN): 9783540564997
Издательство: Springer
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Цена: 23250.00 T
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Описание: This monograph elaborates on Gromov`s theory of hyperbolic groups and spaces in relation to symbolic dynamics. Particular attention is paid to the dynamical system defined by the action of a hyperbolic group on its boundary.

Автор: Michael Kapovich
Название: Hyperbolic Manifolds and Discrete Groups
ISBN: 0817649123 ISBN-13(EAN): 9780817649128
Издательство: Springer
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Цена: 79190.00 T
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Описание: Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis.