Groups and group theory Books
Cambridge University Press Groups Acting on Graphs 17 Cambridge Studies in Advanced Mathematics Series Number 17
Book SynopsisOriginally published in 1989, this is an advanced text and research monograph on groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic. Much of the book occurs at the one-dimensional level, where the topology becomes graph theory. Two-dimensional topics include the characterization of Poincare duality groups and accessibility of almost finitely presented groups. The main three-dimensional topics are the equivariant loop and sphere theorems. The prerequisites grow as the book progresses up the dimensions. A familiarity with group theory is sufficient background for at least the first third of the book, while the later chapters occasionally state without proof and then apply various facts which require knowledge of homological algebra and algebraic topology. This book is essential reading for anyone contemplating working in the subject.Table of ContentsPreface; Conventions; 1. Groups and graphs; 2. Cutting graphs and building trees; 3. The almost stability theorem; 4. Applications of the almost stability theorem; 5. Poincaré duality; 6. Two-dimensional complexes and three-dimensional manifolds; Bibliography and author index; Symbol index; Subject index.
£39.89
Cambridge University Press Lectures on Profinite Topics in Group Theory 77 London Mathematical Society Student Texts Series Number 77
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£51.29
Cambridge University Press 78 Finite Groups and Finite Geometries Cambridge Tracts in Mathematics Series Number 78
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£47.49
Cambridge University Press Restricted Orbit Equivalence for Actions of Discrete Amenable Groups 146 Cambridge Tracts in Mathematics Series Number 146
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£35.14
Cambridge University Press Groups Acting on Graphs 17 Cambridge Studies in Advanced Mathematics Series Number 17
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£93.09
Cambridge University Press Proceedings of Groups St Andrews 1985 121 London Mathematical Society Lecture Note Series Series Number 121
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£65.86
Cambridge University Press Groups
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£42.74
Cambridge University Press combinatorialgrouptheory
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£53.43
Cambridge University Press Cohomological Methods in Transformation Groups 32 Cambridge Studies in Advanced Mathematics Series Number 32
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£133.95
Cambridge University Press LMS 143 Ergodic Thry Discrete Grp London Mathematical Society Lecture Note Series Series Number 143
Book SynopsisThe particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S. J. Patterson for Fuchsian groups, and later extended and refined by Sullivan.Table of Contents1. Preliminaries; 2. The limit set; 3. A measure of the limit set; 4. Conformal densities; 5. Hyperbolically harmonic functions; 6. The sphere at infinity; 7. Elementary ergodic theory; 8. The geodesic flow; 9. Geometrically finite groups; 10. Fuchsian groups.
£57.99
Cambridge University Press LMS 185 Represttns Solvable Groups London Mathematical Society Lecture Note Series Series Number 185
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£65.86
Cambridge University Press Groups St Andrews 1989 Volume 1 159 London Mathematical Society Lecture Note Series Series Number 159
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£61.71
Cambridge University Press LMS 160 Groups St Andrews Volume 2 London Mathematical Society Lecture Note Series Series Number 160
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£50.95
Cambridge University Press LMS 165 Grps Combinatrcs Geometry London Mathematical Society Lecture Note Series Series Number 165
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£65.86
Cambridge University Press Geometry of Sporadic Groups Volume 1 Petersen and Tilde Geometries Encyclopedia of Mathematics and its Applications Series Number 76
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£122.55
Cambridge University Press LMS 181 Geometric Group Theory v1 Volume 1 London Mathematical Society Lecture Note Series Series Number 181
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£53.99
Cambridge University Press LMS 182 Geometric Group Theory v2 Volume 2 London Mathematical Society Lecture Note Series Series Number 182
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£76.99
Cambridge University Press LMS 197 Two Dimensional Homotopy London Mathematical Society Lecture Note Series Series Number 197
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£61.71
Cambridge University Press Local Representation Theory Modular Representations as an Introduction to the Local Representation Theory of Finite Groups 11 Cambridge Studies in Advanced Mathematics Series Number 11
Book SynopsisThe aim of this text is to present some of the key results in the representation theory of finite groups. In order to keep the account reasonably elementary, so that it can be used for graduate-level courses, Professor Alperin has concentrated on local representation theory, emphasising module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. As a text, this book contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text. Representation theory is applied in number theory, combinatorics and in maTrade Review'… a beautifully written book. Anyone wishing to learn the fundamental facts of Brauer's theory of blocks cannot do better than to begin his study with this text.' Bulletin of the London Mathematical SocietyTable of ContentsPreface; Part I. Semi-Simple Modules: Part II. Projective Modules: Part III. Modules and Subgroups: Part IV. Blocks: Part V. Cyclic Blocks.
£43.69
Cambridge University Press Undergraduate Commutative Algebra 29 London Mathematical Society Student Texts Series Number 29
Book SynopsisCommutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position oTrade Review'It gives a fresh picture of the subject for a new generation of students.' P. Scnezel, Zentralblatt fur Mathematik'The author takes care to explain the geometric and number theoretic meaning of the algebraic methods and results presented. This makes the book perhaps more demanding, but surely much more interesting than the standard ones.' European Mathematical Society Newsletter'Besides the usual topics … there are some welcome geometrical illustrations, as well as some homespun philosophy.' MathematicaTable of ContentsHello!; 1. Basics; 2. Modules; 3. Noetherian rings; 4. Finite extensions and Noether normalisation; 5. The nullstellensatz and spec A; 6. Rings of fractions S-1A and localisation; 7. Primary decomposition; 8. DVRs and normal integral domains; 9. Goodbye!; Bibliography.
£127.30
Cambridge University Press LMSST 43 Fourier Analys Finite Grp London Mathematical Society Student Texts Series Number 43
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£54.14
Cambridge University Press Polynomial Invariants of Finite Groups 190 London Mathematical Society Lecture Note Series Series Number 190
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£51.78
Cambridge University Press Undergraduate Commutative Algebra 29 London Mathematical Society Student Texts Series Number 29
Book SynopsisCommutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position oTrade Review'It gives a fresh picture of the subject for a new generation of students.' P. Scnezel, Zentralblatt fur Mathematik'The author takes care to explain the geometric and number theoretic meaning of the algebraic methods and results presented. This makes the book perhaps more demanding, but surely much more interesting than the standard ones.' European Mathematical Society Newsletter'Besides the usual topics … there are some welcome geometrical illustrations, as well as some homespun philosophy.' MathematicaTable of ContentsHello!; 1. Basics; 2. Modules; 3. Noetherian rings; 4. Finite extensions and Noether normalisation; 5. The nullstellensatz and spec A; 6. Rings of fractions S-1A and localisation; 7. Primary decomposition; 8. DVRs and normal integral domains; 9. Goodbye!; Bibliography.
£39.99
Cambridge University Press LMS 207 Groups of Lie Type Geomtrs London Mathematical Society Lecture Note Series Series Number 207
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£65.86
Cambridge University Press LMS 211 Groups GalwaySt Andrws v1 Volume 1 London Mathematical Society Lecture Note Series Series Number 211
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£65.86
Cambridge University Press Groups 93 GalwaySt Andrews Volume 2 212 London Mathematical Society Lecture Note Series Series Number 212
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£65.86
Cambridge University Press An Algebraic Introduction to Complex Projective Geometry Commutative Algebra Cambridge Studies in Advanced Mathematics Series Number 47
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£108.30
Cambridge University Press Elementary Number Theory Group Theory and Ramanujan Graphs
Book SynopsisThis text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering.Trade Review'The book under review is an attractively written excellent text which successfully bridges the gap between undergraduate instruction and current research. Hence it is very well suited to bring a fresh breeze into the classroom. The reviewer warmly recommends this text to any lecturer looking for an attractive theme and to everybody else for great supplementary reading. Of course, this book should not be missed in any institutional library.' Zentralblatt MATH'A light touch and the inclusion of some unexpected results make the book a pleasure to read.' MathematikaTable of ContentsAn overview; 1. Graph theory; 2. Number theory; 3. PSL2(q); 4. The graphs Xp,q; Appendix A. 4-regular graphs with large girth; Index; Bibliography.
£37.99
Cambridge University Press Groups St Andrews 2001 in Oxford Volume 1 304 London Mathematical Society Lecture Note Series Series Number 304
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£65.86
Cambridge University Press Groups St Andrews 2001 in Oxford Volume 2 305 London Mathematical Society Lecture Note Series Series Number 305
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£65.86
Cambridge University Press Analytic ProP Groups 2ed 61 Cambridge Studies in Advanced Mathematics Series Number 61
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£59.22
Cambridge University Press Groups Topological Combinatorial and Arithmetic Aspects 311 London Mathematical Society Lecture Note Series Series Number 311
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£92.36
Cambridge University Press Low Rank Representations for Groups 8 Australian Mathematical Society Lecture Series Series Number 8
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£35.14
Cambridge University Press 3Transposition Groups
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£105.45
Cambridge University Press LMS 249 Atlas Finite Group Ten Yrs London Mathematical Society Lecture Note Series Series Number 249
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£65.86
Cambridge University Press LMS 231 Semigroup Thry Applns Proceedings of the 1994 Conference Commemorating the Work of Alfred H Clifford London Mathematical Society Lecture Note Series Series Number 231
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£50.95
Cambridge University Press Elements of the Representation Theory of Associative Algebras Volume 1
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£138.70
Cambridge University Press Algebraic Groups and Lie Groups A Volume of Papers in Honour of the Late R W Richardson 9 Australian Mathematical Society Lecture Series Series Number 9
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£65.86
Cambridge University Press LMSST 15 Presentation of Group 2ed London Mathematical Society Student Texts Series Number 15
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£48.44
Cambridge University Press Elements of the Representation Theory of Associative Algebras Volume 1
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£44.64
Cambridge University Press LMS 244 Model Theory Grps Auto Grp London Mathematical Society Lecture Note Series Series Number 244
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£50.99
Cambridge University Press LMS 250 Characters Finite Groups London Mathematical Society Lecture Note Series Series Number 250
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£74.99
Cambridge University Press pAutomorphisms of Finite pGroups
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£55.09
Cambridge University Press Stable Groups 240 London Mathematical Society Lecture Note Series Series Number 240
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£65.86
Cambridge University Press Geometry of Sporadic Groups Volume 2 Representations and Amalgams
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£125.40
Cambridge University Press Grobner Bases and Applications 251 London Mathematical Society Lecture Note Series Series Number 251
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£98.15
Cambridge University Press Geometry and Cohomology in Group Theory 252 London Mathematical Society Lecture Note Series Series Number 252
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£78.28
Cambridge University Press Representations of Reductive Groups 16 Publications of the Newton Institute Series Number 16
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£105.45
