Group Action

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Martin Ringer, an internationally known consultant and writer on group psychology, here outlines techniques for understanding groups that will be relevant to those who lead teams in any setting. The result is an accessible guide both to leading a group, and to understanding the necessary dynamics that will result in the best team-work.

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Genre : Psychology
Author : T. Martin Ringer
Publisher : Jessica Kingsley Publishers
Release : 2002
File : 304 Pages
ISBN-13 : 1843100282


Group Actions In Ergodic Theory Geometry And Topology

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Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.

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Genre : Mathematics
Author : Robert J. Zimmer
Publisher : University of Chicago Press
Release : 2019-12-23
File : 724 Pages
ISBN-13 : 9780226568133


Geometry Rigidity And Group Actions

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The study of group actions is more than 100 years old but remains a widely studied topic in a variety of mathematic fields. A central development in the last 50 years is the phenomenon of rigidity, whereby one can classify actions of certain groups. This book looks at rigidity.

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Genre : Mathematics
Author : Robert J. Zimmer
Publisher : University of Chicago Press
Release : 2011-04-15
File : 659 Pages
ISBN-13 : 9780226237893


Finite Group Actions On Simply Connected Manifolds And Cw Complexes

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The problem that we are concerned with is the existence and construction of embeddings of a given G-CW complex (G-manifold) in another G-CW complex (G-manifold) having a prescribed homotopy type and a prescribed family of isotropy subgroups.

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Genre : CW complexes
Author : Amir H. Assadi
Publisher : American Mathematical Soc.
Release : 1982
File : 129 Pages
ISBN-13 : 9780821822579


Differential Topology Foliations And Group Actions

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This volume contains the proceedings of the Workshop on Topology held at the Pontificia Universidade Catolica in Rio de Janeiro in January 1992. Bringing together about one hundred mathematicians from Brazil and around the world, the workshop covered a variety of topics in differential and algebraic topology, including group actions, foliations, low-dimensional topology, and connections to differential geometry. The main concentration was on foliation theory, but there was a lively exchange on other current topics in topology. The volume contains an excellent list of open problems in foliation research, prepared with the participation of some of the top world experts in this area. Also presented here are two surveys on group actions---finite group actions and rigidity theory for Anosov actions---as well as an elementary survey of Thurston's geometric topology in dimensions 2 and 3 that would be accessible to advanced undergraduates and graduate students.

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Genre : Mathematics
Author : Paul A. Schweitzer
Publisher : American Mathematical Soc.
Release : 1994
File : 306 Pages
ISBN-13 : 9780821851708


Symbolic Extensions Of Amenable Group Actions And The Comparison Property

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View the abstract.

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Genre : Mathematics
Author : Tomasz Downarowicz
Publisher : American Mathematical Society
Release : 2023-01-18
File : 108 Pages
ISBN-13 : 9781470455873


Lie Group Actions In Complex Analysis

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The main topic of this book is the sudy of the interaction between two major subjects of modern mathematics, namely, the theory of Lie groups with its specific methods and ways of thinking on the one hand and complex analysis with all its analytic, algebraic and geometric aspects. More specifically, the author concentrates on the double role of Lie groups in complex analysis, namely, as groups of biholomorphic self-made of certain complex analytic objects on the one hand and as a special class of complex manifolds with an additional strong structure on the other hand. The book starts from the basics of this subject and introduces the reader into many fields of recent research.

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Genre : Mathematics
Author : Dimitrij Akhiezer
Publisher : Springer Science & Business Media
Release : 2012-12-06
File : 212 Pages
ISBN-13 : 9783322802675


Group Actions On Rings

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Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMS-IMS-SIAM Joint Summer Research Conference to exchange ideas about group actions on rings. This work discusses topics common to the three fields, including: $K$-theory, dual actions, semi-invariants and crossed products.

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Genre : Mathematics
Author : Susan Montgomery
Publisher : American Mathematical Soc.
Release : 1985
File : 290 Pages
ISBN-13 : 9780821850466


Infinite Group Actions On Polyhedra

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In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory. Structured around the theme of group actions on contractible polyhedra, this book explores two prominent methods for constructing such actions: utilizing the group of deck transformations of the universal cover of a nonpositively curved polyhedron and leveraging the theory of simple complexes of groups. The book presents various approaches to obtaining cubical examples through CAT(0) cube complexes, including the polyhedral product construction, hyperbolization procedures, and the Sageev construction. Moreover, it offers a unified presentation of important non-cubical examples, such as Coxeter groups, Artin groups, and groups that act on buildings. Designed as a resource for graduate students and researchers specializing in geometric group theory, this book should also be of high interest to mathematicians in related areas, such as 3-manifolds.

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Genre : Infinite groups
Author : MICHAEL W. DAVIS
Publisher : Springer Nature
Release : 2024
File : 273 Pages
ISBN-13 : 9783031484438


Algebraic Groups Structure And Actions

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This volume contains the proceedings of the 2015 Clifford Lectures on Algebraic Groups: Structures and Actions, held from March 2–5, 2015, at Tulane University, New Orleans, Louisiana. This volume consists of six articles on algebraic groups, including an enhanced exposition of the classical results of Chevalley and Rosenlicht on the structure of algebraic groups; an enhanced survey of the recently developed theory of pseudo-reductive groups; and an exposition of the recently developed operational -theory for singular varieties. In addition, there are three research articles containing previously unpublished foundational results on birational automorphism groups of algebraic varieties; solution of Hermite-Joubert problem over -closed fields; and cohomological invariants and applications to classifying spaces. The old and new results presented in these articles will hopefully become cornerstones for the future development of the theory of algebraic groups and applications. Graduate students and researchers working in the fields of algebraic geometry, number theory, and representation theory will benefit from this unique and broad compilation of fundamental results on algebraic group theory.

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Genre : Mathematics
Author : Mahir Bilen Can
Publisher : American Mathematical Soc.
Release : 2017-04-06
File : 306 Pages
ISBN-13 : 9781470426019