Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type, Carles Broto, Jesper M. Moller, Bob Oliver

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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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.

Автор: Arno van den Essen
Название: Automorphisms of Affine Spaces
ISBN: 0792335236 ISBN-13(EAN): 9780792335238
Издательство: Springer
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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: William Goldman, Greg McShane, George Stantchev, Ser Peow Tan
Название: Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane
ISBN: 1470436140 ISBN-13(EAN): 9781470436148
Издательство: Mare Nostrum (Eurospan)
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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.

Автор: Ivan Cheltsov; Ciro Ciliberto; Hubert Flenner; Jam
Название: Automorphisms in Birational and Affine Geometry
ISBN: 3319056808 ISBN-13(EAN): 9783319056807
Издательство: Springer
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Описание: The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional.

Автор: Arno van den Essen
Название: Polynomial Automorphisms
ISBN: 3034895674 ISBN-13(EAN): 9783034895675
Издательство: Springer
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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.

Автор: V. Kharchenko
Название: Automorphisms and Derivations of Associative Rings
ISBN: 0792313828 ISBN-13(EAN): 9780792313823
Издательство: Springer
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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.