Topics in Geometric Group Theory (Record no. 59163)

MARC details
000 -LEADER
fixed length control field 04219nam a22003017a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220505112111.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780226317212
028 ## - DISTRIBUTOR NAME
Distributor Name :International Book Distributors
Distributor address :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
Bill Number :117716
Bill Date :22/04/2022
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.2 LAH
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name La Harpe, Pierre de
245 ## - TITLE STATEMENT
Title Topics in Geometric Group Theory
Statement of responsibility, etc / Pierre de La Harpe
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Chicago
Name of publisher, distributor, etc : University of Chicago Press,
Date of publication, distribution, etc ©2000.
300 ## - PHYSICAL DESCRIPTION
Extent vi, 310p
Other physical details : illustrations
Dimensions ; 24 cm.
365 ## - TRADE PRICE
Price amount 3480
490 ## - SERIES STATEMENT
Series statement Chicago lectures in mathematics.
505 ## - FORMATTED CONTENTS NOTE
Contents note Gauss' circle problem and Polya's random walks on lattices --<br/>The circle problem --<br/>Polya's recurrence theorem --<br/>Free products and free groups --<br/>Free Products of Groups --<br/>The Table-Tennis Lemma (Klein's criterion) and examples of free products --<br/>Finitely-generated groups --<br/>Finitely-generated and infinitely-generated groups --<br/>Uncountably many groups with two generators (B.H. Neumann's method) --<br/>On groups with two generators --<br/>On finite quotients of the modular group --<br/>Finitely-generated groups viewed as metric spaces --<br/>Word lengths and Cayley graphs --<br/>Quasi-isometries --<br/>Finitely-presented groups --<br/>Finitely-presented groups --<br/>The Poincare theorem on fundamental polygons --<br/>On fundamental groups and curvature in Riemannian geometry --<br/>Complement on Gromov's hyperbolic groups --<br/>Growth of finitely-generated groups --<br/>Growth functions and growth series of groups --<br/>Generalities on growth types --<br/>Exponential growth rate and entropy --<br/>Groups of exponential or polynomial growth --<br/>On groups of exponential growth --<br/>On uniformly exponential growth --<br/>On groups of polynomial growth --<br/>Complement on other kinds of growth --<br/>The first Grigorchuk group --<br/>Rooted d-ary trees and their automorphisms --<br/>The group [Gamma] as an answer to one of Burnside's problems --<br/>On some subgroups of [Gamma] --<br/>Congruence subgroups --<br/>Word problem and non-existence of finite presentations --<br/>Growth --<br/>Exercises and complements.
520 ## - SUMMARY, ETC.
Summary, etc "Groups as abstract structures were first recognized by mathematicians in the nineteenth century. Groups are, of course, sets given with appropriate "multiplications," and they are often given together with actions on interesting geometric objects. But groups are also interesting geometric objects by themselves. More precisely, a finitely-generated group can be seen as a metric space, the distance between two points being defined "up to quasi-isometry" by some "word length," and this gives rise to a very fruitful approach to group theory." "In this book, Pierre de la Harpe provides a concise and engaging introduction to this approach, 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 uses a hands-on presentation style, illustrating key concepts of geometric group theory with numerous concrete examples." "The first five chapters present basic combinatorial and geometric group theory in a unique 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," an infinite finitely-generated torsion group of intermediate growth which is becoming more and more important in group theory. 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 questions in the field. An extensive list of references directs readers to more advanced results as well as connections with other subjects. Book jacket."--Jacket.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometric group theory.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometrische Gruppentheorie
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Groupes infinis.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Groupes, Théorie combinatoire des.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometrische Gruppentheorie
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name La Harpe, Pierre de
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Barcode Date last seen Price effective from Koha item type Public note
    Dewey Decimal Classification   Not For Loan SNU LIBRARY SNU LIBRARY 05/05/2022 International Book Distributors 3480.00 512.2 LAH 28682 05/05/2022 05/05/2022 Books Books Shifted in Mathematics Dept.
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