Groups Combinatorics Geometry PDF Download
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Author | : Martin W. Liebeck |
Publisher | : Cambridge University Press |
Total Pages | : 505 |
Release | : 1992-09-10 |
Genre | : Mathematics |
ISBN | : 0521406854 |
Download Groups, Combinatorics and Geometry Book in PDF, ePub and Kindle
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Author | : A. A. Ivanov |
Publisher | : World Scientific |
Total Pages | : 350 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9789812564481 |
Download Groups Combinatorics & Geometry Book in PDF, ePub and Kindle
Over the past 20 years, the theory of groups in particular simplegroups, finite and algebraic has influenced a number of diverseareas of mathematics. Such areas include topics where groups have beentraditionally applied, such as algebraic combinatorics, finitegeometries, Galois theory and permutation groups, as well as severalmore recent developments.
Author | : Ezra Miller |
Publisher | : American Mathematical Soc. |
Total Pages | : 705 |
Release | : 2007 |
Genre | : Combinatorial analysis |
ISBN | : 0821837362 |
Download Geometric Combinatorics Book in PDF, ePub and Kindle
Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.
Author | : Tullio Ceccherini-Silberstein |
Publisher | : Springer Nature |
Total Pages | : 468 |
Release | : 2022-01-01 |
Genre | : Mathematics |
ISBN | : 3030881091 |
Download Topics in Groups and Geometry Book in PDF, ePub and Kindle
This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random walks on groups. The results are unified under the common theme of Gromov’s theorem, namely that finitely generated groups of polynomial growth are virtually nilpotent. This beautiful result gave birth to a fascinating new area of research which is still active today. The purpose of the book is to collect these naturally related results together in one place, most of which are scattered throughout the literature, some of them appearing here in book form for the first time. In this way, the connections between these topics are revealed, providing a pleasant introduction to geometric group theory based on ideas surrounding Gromov's theorem. The book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups.
Author | : D.J. Collins |
Publisher | : Springer Science & Business Media |
Total Pages | : 248 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 3642580130 |
Download Algebra VII Book in PDF, ePub and Kindle
From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996
Author | : A.Yu. Ol'shanskii |
Publisher | : Springer Science & Business Media |
Total Pages | : 540 |
Release | : 1991-10-31 |
Genre | : Mathematics |
ISBN | : 9780792313946 |
Download Geometry of Defining Relations in Groups Book in PDF, ePub and Kindle
The main feature of this book is a systematic application of elementary geometric and topological techniques for solving problems that arise naturally in algebra. After an account of preliminary material, there is a discussion of a geometrically intuitive interpretation of the derivation of consequences of defining relations of groups. A study is made of planar and certain other two-dimensional maps connected with well-known problems in general group theory, such as the problems of Burnside and O. Yu. Schmidt. The method of cancellation diagrams developed here is applied to these and to a series of other problems. This monograph is addressed to research workers and students in universities, and may be used as a basis for a series of specialized lectures or seminars.
Author | : Roger C. Lyndon |
Publisher | : Cambridge University Press |
Total Pages | : 231 |
Release | : 1985-03-14 |
Genre | : Mathematics |
ISBN | : 0521316944 |
Download Groups and Geometry Book in PDF, ePub and Kindle
This 1985 book is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and leads the reader to the frontiers of current research at the time of publication.
Author | : Oleg Bogopolski |
Publisher | : Springer Science & Business Media |
Total Pages | : 318 |
Release | : 2011-01-28 |
Genre | : Mathematics |
ISBN | : 3764399112 |
Download Combinatorial and Geometric Group Theory Book in PDF, ePub and Kindle
This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.
Author | : Clara Löh |
Publisher | : Springer |
Total Pages | : 389 |
Release | : 2017-12-19 |
Genre | : Mathematics |
ISBN | : 3319722549 |
Download Geometric Group Theory Book in PDF, ePub and Kindle
Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasi-geometry of groups at an advanced undergraduate level. The subject is illustrated by many elementary examples, outlooks on applications, as well as an extensive collection of exercises.
Author | : Sean Cleary |
Publisher | : American Mathematical Soc. |
Total Pages | : 292 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 9780821856321 |
Download Combinatorial and Geometric Group Theory Book in PDF, ePub and Kindle
This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.