Arboreal Group Theory

Author : Roger C. Alperin
Publisher : Springer Science & Business Media
ISBN 13 : 1461231426
Total Pages : 372 pages
Book Rating : 4.24/5 ( download)

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Download or read book Arboreal Group Theory written by Roger C. Alperin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the week of September 13, 1988 the Mathematical Sciences Research Institute hosted a four day workshop on Arboreal Group Theory. This volume is the product of that meeting. The program centered on the topic of the theory of groups acting on trees and the various applications to hyperbolic geometry. Topics include the theory of length functions, structure of groups acting freely on trees, spaces of hyperbolic structures and their compactifications, and moduli for tree actions.

Author : Alberto Verjovski
Publisher : #N/A
ISBN 13 : 981456964X
Total Pages : 744 pages
Book Rating : 4.44/5 ( download)

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Download or read book Group Theory From A Geometrical Viewpoint written by Alberto Verjovski and published by #N/A. This book was released on 1991-08-12 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Cornelia Druţu
Publisher : American Mathematical Soc.
ISBN 13 : 1470411040
Total Pages : 819 pages
Book Rating : 4.46/5 ( download)

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Download or read book Geometric Group Theory written by Cornelia Druţu and published by American Mathematical Soc.. This book was released on 2018-03-28 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : José Burillo
Publisher : American Mathematical Soc.
ISBN 13 : 0821833626
Total Pages : 242 pages
Book Rating : 4.29/5 ( download)

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Download or read book Geometric Methods in Group Theory written by José Burillo and published by American Mathematical Soc.. This book was released on 2005 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain). The expository and survey articles in the book cover a wide range of topics, making it suitable for researchers and graduate students interested in group theory.

Author : Olga Kharlampovich
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870174
Total Pages : 164 pages
Book Rating : 4.73/5 ( download)

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Download or read book Summer School in Group Theory in Banff, 1996 written by Olga Kharlampovich and published by American Mathematical Soc.. This book was released on with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third annual CRM Summer School took place in Banff (Alberta, Canada) and was aimed toward advanced students and recent PhDs. This volume presents surveys from the group theory part of the theme year and examines different approaches to the topic: a geometric approach, an approach using methods from logic, and an approach with roots in the Bass-Serre theory of groups acting on trees. The work offers a concise introduction to current directions of research in combinatorial group theory. Surveys in the text are by leading researchers in the field who are experienced expositors. The text is suitable for use in a graduate course in geometric and combinatorial group theory.

Author : Ronald Solomon
Publisher : World Scientific
ISBN 13 : 9814553034
Total Pages : 350 pages
Book Rating : 4.32/5 ( download)

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Download or read book Group Theory - Proceedings Of The Biennial Ohio State - Denison Conference written by Ronald Solomon and published by World Scientific. This book was released on 1993-09-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of invited papers on the theory of groups, most of which were presented at the biennial Ohio State-Denison Conference, May 1992, in memory of Hans Zassenhaus. These papers treat important topics in the theory of p-groups, solvable groups, finitely presented groups, arithmetic groups, monodromy groups and the general structure and representation theory of groups. Of particular note are papers by John Walter on root systems, by Leonard Scott on integral equivalence of permutation representations and Alex Turull on generalized Brauer groups.

Author : Pierre de la Harpe
Publisher : University of Chicago Press
ISBN 13 : 9780226317199
Total Pages : 320 pages
Book Rating : 4.96/5 ( download)

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Download or read book Topics in Geometric Group Theory written by Pierre de la Harpe and published by University of Chicago Press. This book was released on 2000-10-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : R. I. Grigorchuk
Publisher : American Mathematical Soc.
ISBN 13 : 0821837567
Total Pages : 248 pages
Book Rating : 4.66/5 ( download)

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Download or read book Topological and Asymptotic Aspects of Group Theory written by R. I. Grigorchuk and published by American Mathematical Soc.. This book was released on 2006 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory, such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.

Author : Benjamin Fine
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110382571
Total Pages : 333 pages
Book Rating : 4.70/5 ( download)

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Download or read book The Elementary Theory of Groups written by Benjamin Fine and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov.

Author : Benjamin Fine
Publisher : CRC Press
ISBN 13 : 9780824703196
Total Pages : 338 pages
Book Rating : 4.97/5 ( download)

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Download or read book Algebraic Generalizations of Discrete Groups written by Benjamin Fine and published by CRC Press. This book was released on 1999-07-27 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.