Author : Anonim
Publisher : Unknown
Page : 518 pages
File Size : 42,9 Mb
Release : 2008
Category : Algebra
ISBN : UOM:39015085195405
Algebras, Groups, and Geometries
Anonim
Algebras Groups And Geometries
Algebras Groups And Geometries Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Algebras Groups And Geometries book. This book definitely worth reading, it is an incredibly well-written.
Proceedings of the Conference on Groups and Geometry
Donald W. Crowe,J. Marshall Osborn,Louis Solomon
Author : Donald W. Crowe,J. Marshall Osborn,Louis Solomon
Publisher : Unknown
Page : 17 pages
File Size : 50,8 Mb
Release : 1985
Category : Geometry, Algebraic
ISBN : OCLC:14521713
Proceedings of the Conference on Groups and Geometry by Donald W. Crowe,J. Marshall Osborn,Louis Solomon Pdf
New Frontiers in Algebras, Groups and Geometries
Grigorios T. Tsagas
Author : Grigorios T. Tsagas
Publisher : Unknown
Page : 624 pages
File Size : 42,8 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015050453292
New Frontiers in Algebras, Groups and Geometries by Grigorios T. Tsagas Pdf
From Groups to Geometry and Back
Vaughn Climenhaga,Anatole Katok
Author : Vaughn Climenhaga,Anatole Katok
Publisher : American Mathematical Soc.
Page : 420 pages
File Size : 52,7 Mb
Release : 2017-04-07
Category : Geometry
ISBN : 9781470434793
From Groups to Geometry and Back by Vaughn Climenhaga,Anatole Katok Pdf
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Algebra VII
D.J. Collins,R.I. Grigorchuk,P.F. Kurchanov,H. Zieschang
Author : D.J. Collins,R.I. Grigorchuk,P.F. Kurchanov,H. Zieschang
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 53,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642580130
Algebra VII by D.J. Collins,R.I. Grigorchuk,P.F. Kurchanov,H. Zieschang Pdf
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
Groups and Geometry
P. M. Neumann,Gabrielle A. Stoy,E. C. Thompson
Author : P. M. Neumann,Gabrielle A. Stoy,E. C. Thompson
Publisher : Oxford University Press, USA
Page : 268 pages
File Size : 43,9 Mb
Release : 1994
Category : Language Arts & Disciplines
ISBN : 0198534515
Groups and Geometry by P. M. Neumann,Gabrielle A. Stoy,E. C. Thompson Pdf
Contains the Oxford Mathematical Institute notes for undergraduate and first-year postgraduates. The first half of the book covers groups, the second half covers geometry and both parts contain a number of exercises.
Generators and Relations in Groups and Geometries
A. Barlotti,E.W. Ellers,P. Plaumann,K. Strambach
Author : A. Barlotti,E.W. Ellers,P. Plaumann,K. Strambach
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401133821
Generators and Relations in Groups and Geometries by A. Barlotti,E.W. Ellers,P. Plaumann,K. Strambach Pdf
Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance.
Groups, Combinatorics and Geometry
Martin W. Liebeck
Author : Martin W. Liebeck
Publisher : Cambridge University Press
Page : 505 pages
File Size : 50,9 Mb
Release : 1992-09-10
Category : Mathematics
ISBN : 9780521406857
Groups, Combinatorics and Geometry by Martin W. Liebeck Pdf
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Groups and Geometry
Roger C. Lyndon
Author : Roger C. Lyndon
Publisher : Cambridge University Press
Page : 231 pages
File Size : 44,6 Mb
Release : 1985-03-14
Category : Mathematics
ISBN : 9780521316941
Groups and Geometry by Roger C. Lyndon Pdf
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.
Geometries and Groups
Viacheslav V. Nikulin,Igor R. Shafarevich
Author : Viacheslav V. Nikulin,Igor R. Shafarevich
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642615702
Geometries and Groups by Viacheslav V. Nikulin,Igor R. Shafarevich Pdf
This book is devoted to the theory of geometries which are locally Euclidean, in the sense that in small regions they are identical to the geometry of the Euclidean plane or Euclidean 3-space. Starting from the simplest examples, we proceed to develop a general theory of such geometries, based on their relation with discrete groups of motions of the Euclidean plane or 3-space; we also consider the relation between discrete groups of motions and crystallography. The description of locally Euclidean geometries of one type shows that these geometries are themselves naturally represented as the points of a new geometry. The systematic study of this new geometry leads us to 2-dimensional Lobachevsky geometry (also called non-Euclidean or hyperbolic geometry) which, following the logic of our study, is constructed starting from the properties of its group of motions. Thus in this book we would like to introduce the reader to a theory of geometries which are different from the usual Euclidean geometry of the plane and 3-space, in terms of examples which are accessible to a concrete and intuitive study. The basic method of study is the use of groups of motions, both discrete groups and the groups of motions of geometries. The book does not presuppose on the part of the reader any preliminary knowledge outside the limits of a school geometry course.
Groups of Exceptional Type, Coxeter Groups and Related Geometries
N.S. Narasimha Sastry
Author : N.S. Narasimha Sastry
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 54,6 Mb
Release : 2014-04-02
Category : Mathematics
ISBN : 9788132218142
Groups of Exceptional Type, Coxeter Groups and Related Geometries by N.S. Narasimha Sastry Pdf
The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the theme of the book. Some of the articles provide the latest developments in the subject; some provide an overview of the current status of some important problems in this area; some survey an area highlighting the current developments; and some provide an exposition of an area to collect problems and conjectures. It is hoped that these articles would be helpful to a beginner to start independent research on any of these topics, as well as to an expert to know some of the latest developments or to consider some problems for investigation.
Finite Groups and Finite Geometries
T. Tsuzuku
Author : T. Tsuzuku
Publisher : Cambridge University Press
Page : 344 pages
File Size : 45,9 Mb
Release : 1982-01-21
Category : Mathematics
ISBN : 9780521222426
Finite Groups and Finite Geometries by T. Tsuzuku Pdf
A 1982 introduction to developments which had taken place in finite group theory related to finite geometries.
Lie Algebras and Algebraic Groups
Patrice Tauvel,Rupert W. T. Yu
Author : Patrice Tauvel,Rupert W. T. Yu
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 51,9 Mb
Release : 2005-08-08
Category : Mathematics
ISBN : 9783540274278
Lie Algebras and Algebraic Groups by Patrice Tauvel,Rupert W. T. Yu Pdf
Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.
Algebraic Geometry for Associative Algebras
Freddy Van Oystaeyen
Author : Freddy Van Oystaeyen
Publisher : CRC Press
Page : 310 pages
File Size : 51,5 Mb
Release : 2000-06-06
Category : Mathematics
ISBN : 082470424X
Algebraic Geometry for Associative Algebras by Freddy Van Oystaeyen Pdf
This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create a blend of noncommutative algebraic geometry. It offers a scheme theory that sustains the duality between algebraic geometry and commutative algebra to the noncommutative level.
Classical Groups and Geometric Algebra
Larry C. Grove
Author : Larry C. Grove
Publisher : American Mathematical Soc.
Page : 181 pages
File Size : 50,8 Mb
Release : 2002
Category : Geometry, Algebraic
ISBN : 9780821820193
Classical Groups and Geometric Algebra by Larry C. Grove Pdf
A graduate-level text on the classical groups: groups of matrices, or (more often) quotients of matrix groups by small normal subgroups. It pulls together into a single source the basic facts about classical groups defined over fields, together with the required geometrical background information, from first principles. The chief prerequisites are basic linear algebra and abstract algebra, including fundamentals of group theory and some Galois Theory. The author teaches at the U. of Arizona. c. Book News Inc