Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896426
Total Pages : 280 pages
Book Rating : 4.23/5 ( download)

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Book Synopsis Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology by :

Download or read book Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology written by and published by American Mathematical Soc.. This book was released on 1968-12-31 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology

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Publisher :
ISBN 13 : 9781470432775
Total Pages : 272 pages
Book Rating : 4.73/5 ( download)

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Book Synopsis Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology by : A. N. Andrianov

Download or read book Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology written by A. N. Andrianov and published by . This book was released on 1968 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

American Mathematical Society Translations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821817636
Total Pages : 296 pages
Book Rating : 4.39/5 ( download)

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Book Synopsis American Mathematical Society Translations by : Ju. I. Manin

Download or read book American Mathematical Society Translations written by Ju. I. Manin and published by American Mathematical Soc.. This book was released on 1967 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Papers on Group Theory and Topology

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Publisher : Springer Science & Business Media
ISBN 13 : 1461246687
Total Pages : 404 pages
Book Rating : 4.88/5 ( download)

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Book Synopsis Papers on Group Theory and Topology by : Max Dehn

Download or read book Papers on Group Theory and Topology written by Max Dehn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Max Dehn (1878-1952) has been quietly influential in mathematics since the beginning of the 20th century. In 1900 he became the first to solve one of the famous Hilbert problems (the third, on the decomposition of polyhedra), in 1907 he collaborated with Heegaard to produce the first survey of topology, and in 1910 he began publishing his own investigations in topology and combinatorial group theory. His influence is apparent in the terms Dehn's algorithm, Dehn's lemma and Dehn surgery (and Dehnsche Gruppenbilder, generally known in English as Cayley diagrams), but direct access to his work has been difficult. No edition of his works has been produced, and some of his most important results were never published, at least not by him. The present volume is a modest attempt to bring Dehn's work to a wider audience, particularly topologists and group theorists curious about the origins of their subject and interested in mining the sources for new ideas. It consists of English translations of eight works : five of Dehn's major papers in topology and combinatorial group theory, and three unpublished works which illuminate the published papers and contain some results not available elsewhere. In addition, I have written a short introduction to each work, summarising its contents and trying to establish its place among related works of Dehn and others, and I have added an appendix on the Dehn-Nielsen theorem (often known simply as Nielsen's theorem) .

An Introduction to Algebraic Topology

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Publisher : Springer Science & Business Media
ISBN 13 : 1461245761
Total Pages : 447 pages
Book Rating : 4.66/5 ( download)

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Book Synopsis An Introduction to Algebraic Topology by : Joseph J. Rotman

Download or read book An Introduction to Algebraic Topology written by Joseph J. Rotman and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.

Geometric Group Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470412276
Total Pages : 417 pages
Book Rating : 4.72/5 ( download)

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Book Synopsis Geometric Group Theory by : Mladen Bestvina

Download or read book Geometric Group Theory written by Mladen Bestvina and published by American Mathematical Soc.. This book was released on 2014-12-24 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Geometric Group Theory

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

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Book Synopsis Topics in Geometric Group Theory by : Pierre de la Harpe

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.

Formal Groups and Applications

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Publisher :
ISBN 13 : 9780821894002
Total Pages : 573 pages
Book Rating : 4.05/5 ( download)

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Book Synopsis Formal Groups and Applications by : Michiel Hazewinkel

Download or read book Formal Groups and Applications written by Michiel Hazewinkel and published by . This book was released on 1978 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive treatment of the theory of formal groups and its numerous applications in several areas of mathematics. The seven chapters of the book present basics and main results of the theory, as well as very important applications in algebraic topology, number theory, and algebraic geometry. Each chapter ends with several pages of historical and bibliographic summary. One prerequisite for reading the book is an introductory graduate algebra course, including certain familiarity with category theory.

Algebraic and Geometric Topology

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Publisher : Springer
ISBN 13 : 3540394133
Total Pages : 428 pages
Book Rating : 4.36/5 ( download)

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Book Synopsis Algebraic and Geometric Topology by : Andrew Ranicki

Download or read book Algebraic and Geometric Topology written by Andrew Ranicki and published by Springer. This book was released on 2006-11-14 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Group Theory

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

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Book Synopsis Geometric Group Theory by : Cornelia Druţu

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.