Groups, Combinatorics and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Groups, Combinatorics and Geometry write by Martin W. Liebeck. This book was released on 1992-09-10. Groups, Combinatorics and Geometry available in PDF, EPUB and Kindle. This volume contains a collection of papers on the subject of the classification of finite simple groups.
Geometric Combinatorics
Geometric Combinatorics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Combinatorics write by Ezra Miller. This book was released on 2007. Geometric Combinatorics available 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.
Topics in Groups and Geometry
Topics in Groups and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Groups and Geometry write by Tullio Ceccherini-Silberstein. This book was released on 2022-01-01. Topics in Groups and Geometry available 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.
Groups, Combinatorics And Geometry
Groups, Combinatorics And Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Groups, Combinatorics And Geometry write by Alexander Anatolievich Ivanov. This book was released on 2003-03-19. Groups, Combinatorics And Geometry available in PDF, EPUB and Kindle. Over the past 20 years, the theory of groups — in particular simple groups, finite and algebraic — has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups.This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications.
Combinatorial and Geometric Group Theory
Combinatorial and Geometric Group Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial and Geometric Group Theory write by Oleg Bogopolski. This book was released on 2011-01-28. Combinatorial and Geometric Group Theory available 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.
