Group Theory From A Geometrical Viewpoint
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Group Theory From A Geometrical Viewpoint
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Author : Alberto Verjovski
language : en
Publisher: #N/A
Release Date : 1991-08-12
Group Theory From A Geometrical Viewpoint written by Alberto Verjovski and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-12 with categories.
This proceedings presents the latest research materials done on group theory from geometrical viewpoint in particular Gromov's theory of hyperbolic groups, Coxeter groups, Tits buildings and actions on real trees. All these are very active subjects.
Group Theory From A Geometrical Viewpoint
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Author : Etienne Ghys
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1991
Group Theory From A Geometrical Viewpoint written by Etienne Ghys and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Combinatorial group theory categories.
"Geometric aspects of group theory have enjoyed tremendous resurgence during the past decade. That includes substantial stimulus to combinatorial group theory, Coexter graph and buildings, along with the new theory of hyperbolic groups ... The present volume by leading specialists-presents a broad perspective on the subject with special attention both to the needs of research students and to those at the frontiers of research." James Eells This proceedings presents the latest research materials done on group theory from geometrical viewpoint in particular Gromov's theory of hyperbolic groups, Coxeter groups, Tits buildings and actions on real trees. All these are very active subjects.
Group Theory From A Geometrical Viewpoint
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Author : Alberto Verjovski
language : en
Publisher:
Release Date : 1991
Group Theory From A Geometrical Viewpoint written by Alberto Verjovski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with MATHEMATICS categories.
Homological Group Theory
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Author : Charles Terence Clegg Wall
language : en
Publisher: Cambridge University Press
Release Date : 1979-12-27
Homological Group Theory written by Charles Terence Clegg Wall and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-12-27 with Mathematics categories.
Eminent mathematicians have presented papers on homological and combinatorial techniques in group theory. The lectures are aimed at presenting in a unified way new developments in the area.
Geometric Group Theory
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Author : Mladen Bestvina
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-24
Geometric Group Theory written by Mladen Bestvina and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-24 with Mathematics categories.
Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and the present volume provides an introduction to and overview of various topics which have played critical roles in this evolution. The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory. The institute consists of a set of intensive short courses offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The courses begin at an introductory level suitable for graduate students and lead up to currently active topics of research. The articles in this volume include introductions to CAT(0) cube complexes and groups, to modern small cancellation theory, to isometry groups of general CAT(0) spaces, and a discussion of nilpotent genus in the context of mapping class groups and CAT(0) groups. One course surveys quasi-isometric rigidity, others contain an exploration of the geometry of Outer space, of actions of arithmetic groups, lectures on lattices and locally symmetric spaces, on marked length spectra and on expander graphs, Property tau and approximate groups. This book is a valuable resource for graduate students and researchers interested in geometric group theory. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Geometric Group Theory
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Author : Cornelia Druţu
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-03-28
Geometric Group Theory written by Cornelia Druţu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-28 with Geometric group theory categories.
The key idea in geometric group theory is to study infinite groups by endowing them with a metric and treating them as geometric spaces. This applies to many groups naturally appearing in topology, geometry, and algebra, such as fundamental groups of manifolds, groups of matrices with integer coefficients, etc. The primary focus of this book is to cover the foundations of geometric group theory, including coarse topology, ultralimits and asymptotic cones, hyperbolic groups, isoperimetric inequalities, growth of groups, amenability, Kazhdan's Property (T) and the Haagerup property, as well as their characterizations in terms of group actions on median spaces and spaces with walls. The book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of polynomial growth, Tits's alternative, Stallings's theorem on ends of groups, Dunwoody's accessibility theorem, the Mostow Rigidity Theorem, and quasiisometric rigidity theorems of Tukia and Schwartz. This is the first book in which geometric group theory is presented in a form accessible to advanced graduate students and young research mathematicians. It fills a big gap in the literature and will be used by researchers in geometric group theory and its applications.
Homological Group Theory
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Author : Charles Terence Clegg Wall
language : en
Publisher:
Release Date : 1979
Homological Group Theory written by Charles Terence Clegg Wall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Electronic books categories.
In 1977 several eminent mathematicians were invited to Durham to present papers at a short conference on homological and combinatorial techniques in group theory. The lectures, published here, aimed at presenting in a unified way new developments in the area. Group theory is approached from a geometrical viewpoint and much of the material has not previously been published. The various ways in which topological ideas can be used in group theory are also brought together. The volume concludes with an extensive set of problems, ranging from explicit questions demanding detailed calculation to fundamental questions motivating research in the area. These lectures will be of interest mainly to researchers in pure mathematics but will also prove useful in connection with relevant postgraduate courses.
Geometric Group Theory Volume 1
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Author : Graham A. Niblo
language : en
Publisher: Cambridge University Press
Release Date : 1993-07-30
Geometric Group Theory Volume 1 written by Graham A. Niblo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-30 with Mathematics categories.
For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.
Geometric Group Theory
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Author : Clara Löh
language : en
Publisher:
Release Date : 2017
Geometric Group Theory written by Clara Löh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Topics In Geometric Group Theory
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Author : Pierre de la Harpe
language : en
Publisher: University of Chicago Press
Release Date : 2000-09-15
Topics In Geometric Group Theory written by Pierre de la Harpe and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-15 with Mathematics categories.
In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.