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Vertex Operator Algebras and the Monster
ISBN: 9780122670657 / Angielski / Twarda / 508 str. This work is motivated by and develops connections between several branches of mathematics and physicsthe theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of twodimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous...
This work is motivated by and develops connections between several branches of mathematics and physicsthe theories of Lie algebras, finite groups an...


cena:
268,75 zł 
Characters of Finite Coxeter Groups and IwahoriHecke Algebras
ISBN: 9780198502500 / Angielski / Twarda / 464 str. Finite Coxeter groups and related structures arise naturally in several branches of mathematics such as the theory of Lie algebras and algebraic groups. The corresponding IwahoriHecke algebras are then obtained by a certain deformation process which have applications in the representation theory of groups of Lie type and the theory of knots and links. This book develops the theory of conjugacy classes and irreducible character, both for finite Coxeter groups and the associated IwahoriHecke algebras. Topics covered range from classical results to more recent developments and are clear and...
Finite Coxeter groups and related structures arise naturally in several branches of mathematics such as the theory of Lie algebras and algebraic group...


cena:
1181,57 zł 
Hyperbolic Systems of Conservation Laws: The OneDimensional Cuachy Problem
ISBN: 9780198507000 / Angielski / Twarda / 264 str. This book provides a selfcontained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves. This area has experienced substantial progress in very recent years thanks to the introduction of new techniques, in particular the front tracking algorithm and the semigroup approach. These techniques provide a solution to the long standing open problems of uniqueness and stability of entropy weak solutions. This volume is the first to present a comprehensive...
This book provides a selfcontained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on th...


cena:
837,59 zł 
The Theory of Infinite Soluble Groups
ISBN: 9780198507284 / Angielski / Twarda / 342 str. The central concept in this monograph is that of a soluable group  a group which is built up from abelian groups by repeatedly forming group extenstions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic problems, applications of cohomology, and finitely presented groups, while remaining failry strictly within the boundaries of soluable group theory. An uptodate survey of the area aimed at research students and academic algebraists and group theorists, it is a compendium of information that will...
The central concept in this monograph is that of a soluable group  a group which is built up from abelian groups by repeatedly forming group extensti...


cena:
1324,89 zł 
Fundamentals of Semigroup Theory
ISBN: 9780198511946 / Angielski / Twarda / 368 str. This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and active field of mathematics. It clearly emphasizes "pure" semigroup theory, in particular the various classes of regular semigroups. More than 150 exercises, accompanied by relevant references to the literature, give pointers to areas of the subject not explicitly covered in the text.
This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and a...


cena:
923,58 zł 
Knots and Surfaces
ISBN: 9780198514909 / Angielski / Miękka / 280 str. This highly readable text details the interaction between the mathematical theory of knots and the theories of surfaces and group presentations. It expertly introduces several topics critical to the development of pure mathematics while providing an account of math "in action" in an unusual context. Beginning with a simple diagrammatic approach to the study of knots that reflects the artistic and geometric appeal of interlaced forms, Knots and Surfaces takes the reader through recent research advances. Topics include topological spaces, surfaces, the fundamental group, graphs, free groups,...
This highly readable text details the interaction between the mathematical theory of knots and the theories of surfaces and group presentations. It ex...


cena:
487,87 zł 
The Fourth Janko Group
ISBN: 9780198527596 / Angielski / Twarda / 250 str. This unique reference illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups  the fourth Janko Group J_4. Aimed at graduates and researchers in group theory, geometry and algebra, Ivanov's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory. An indispensable resource, this book will be a unique and essential reference for...
This unique reference illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group...


cena:
1009,58 zł 
Brauer Trees of Sporadic Groups
ISBN: 9780198533818 / Angielski / Twarda / 544 str. The study of finite simple groups has seen considerable progress since their classification and much more is now known about the internal structure of the sporadic groups. Brauer trees present a means of computing certain important properties of these groups and their calculation typically relies upon largescale computations. This volume collects together for the first time the Brauer trees of the sporadic simple groups and their covering groups, as far as they are known. The authors first describe the construction of Brauer trees and the principal methods for their computation. The rest of...
The study of finite simple groups has seen considerable progress since their classification and much more is now known about the internal structure of...


cena:
1324,89 zł 
Groups of Finite Morley Rank
ISBN: 9780198534457 / Angielski / Twarda / 432 str. This book clearly details the theory of groups of finite Morley rankgroups which arise in model theory and generalize the concept of algebraic groups over algebraically closed fields. Written especially for pure group theorists and graduate students embarking on research on the subject, the book develops the theory from the beginning and contains an algebraic and selfevident rather than a modeltheoretic point of view. All necessary model and group theoretical notions are explained at length. Containing nearly all of the known results in the subject, the book offers a plethora of exercises...
This book clearly details the theory of groups of finite Morley rankgroups which arise in model theory and generalize the concept of algebraic group...


cena:
1152,90 zł 
Groups and Geometry
ISBN: 9780198534518 / Angielski / Miękka / 264 str. This volume presents the Oxford Mathematical Institute notes for the enormously successful advanced undergraduate and firstyear graduate student course on groups and geometry. The book's content closely follows the Oxford syllabus but covers a great deal more material than did the course itself. The book is divided into two parts: the first covers the fundamentals of groups, and the second covers geometry and its symbiotic relationship with groups. Both parts contain a number of useful examples and exercises. This book will be welcomed by student and teacher alike as a lucidly written text...
This volume presents the Oxford Mathematical Institute notes for the enormously successful advanced undergraduate and firstyear graduate student cour...


cena:
470,67 zł 
Existentially Closed Groups
ISBN: 9780198535430 / Angielski / Twarda / 176 str. In this volume, the authors introduce the theory of existentially closed groups, bringing together both wellestablished and more contemporary ideas, interpretations, and proofs. They adopt a grouptheoretical rather than a modeltheoretical point of view as they define existentially closed groups and summarizes some of the techniques that are basic to infinite group theory, such as the formation of free products with amalgamation and HNNextensions. From this basis the theory is developed and many of the more recently discovered results are proved and discussed.
In this volume, the authors introduce the theory of existentially closed groups, bringing together both wellestablished and more contemporary ideas, ...


cena:
1267,56 zł 
The Structure of Groups of Prime Power Order
ISBN: 9780198535485 / Angielski / Twarda / 346 str. The coclass project (19801994) provided a new and powerful way to classify finite pgroups. This monograph gives a coherent account of the thinking out of which developed the philosophy that lead to this classification. The authors provide a careful summary and explanation of the many and difficult original research papers on the coclass conjecture and the structure theorem, thus elucidating the background research for those new to the area as well as for experienced researchers. The classification philosophy has lead to many new and challenging problems. Amongst those considered are...
The coclass project (19801994) provided a new and powerful way to classify finite pgroups. This monograph gives a coherent account of the thinking o...


cena:
1095,57 zł 
Projective Representations of the Symmetric Groups: QFunctions and Shifted Tableaux
ISBN: 9780198535560 / Angielski / Twarda / 320 str. The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book is the first completely detailed and selfcontained presentation of the wealth of information now known on the projective representations of the symmetric and alternating groups. Prerequisites are a basic familiarity with the elementary theory of linear representations and a modest background in modern algebra. The authors have taken pains to ensure that all the relevant algebraic and combinatoric tools are clearly explained in such a way as to make the book suitable for graduate...
The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book is the first completely detailed and selfc...


cena:
952,25 zł 
Products of Groups
ISBN: 9780198535751 / Angielski / Twarda / 232 str. Groups comprising two subcomponents are of particular interest to group theorists who want to know in what way the structure of the product is related to that of its subgroups. This monograph gives the first detailed account of the most important results of group product research from the past 35 years. Although the emphasis is on infinite groups, relevant theorems about finite products of groups are also proved. This book will be of interest to research students and specialists in group theory, and will be useful in seminars or as a supplement in courses in general group theory. A special...
Groups comprising two subcomponents are of particular interest to group theorists who want to know in what way the structure of the product is related...


cena:
579,60 zł 
The Cohomology of Groups
ISBN: 9780198535805 / Angielski / Twarda / 176 str. This expertly written volume presents a useful, coherent account of the theory of the cohomology ring of a finite group. The book employs a modern approach from the point of view of homological algebra, and covers themes such as finite generation theorems, the cohomology of wreath products, the norm map, and variety theory. Prerequisites comprise a familiarity with modern algebra comparable to that offered in introductory graduate courses, although otherwise the book is selfcontained. As a result, it will be useful for those already engaged or commencing research in this area of mathematics...
This expertly written volume presents a useful, coherent account of the theory of the cohomology ring of a finite group. The book employs a modern app...


cena:
722,93 zł 
Categories of Commutative Algebras
ISBN: 9780198535867 / Angielski / Twarda / 288 str. This book studies the universal constructions and properties in categories of commutative algebras, bringing out the specific properties that make commutative algebra and algebraic geometry work. Two universal constructions are presented and used here for the first time. The author shows that the concepts and constructions arising in commutative algebra and algebraic geometry are not bound so tightly to the absolute universe of rings, but possess a universality that is independent of them and can be interpreted in various categories of discourse. This brings new flexibility to classical...
This book studies the universal constructions and properties in categories of commutative algebras, bringing out the specific properties that make com...


cena:
579,60 zł 
The Restricted Burnside Problem
ISBN: 9780198537861 / Angielski / Twarda / 272 str. In 1902 William Burnside wrote "A still undecided point in the theory of discontinuous groups is whether the order of a group may not be finite while the order of every operation it contains is finite." Since then, the Burnside problem has inspired a considerable amount of research. This popular text provides a comprehensive account of the many recent results obtained in studies of the restricted Burnside problem by making extensive use of Lie ring techniques that provide for a uniform treatment of the field. The updated and revised second edition includes a new chapter on Zelmanov's highly...
In 1902 William Burnside wrote "A still undecided point in the theory of discontinuous groups is whether the order of a group may not be finite while ...


cena:
1009,58 zł 
Topics in Geometric Group Theory
ISBN: 9780226317212 / Angielski / Miękka / 310 str. In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, 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 adopts a handson approach, illustrating key concepts with numerous concrete examples.
The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de... In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via...


cena:
146,48 zł 
Fuchsian Groups Fuchsian Groups Fuchsian Groups
ISBN: 9780226425832 / Angielski / Miękka / 186 str. This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field. A basic example of lattices in semisimple groups, Fuchsian groups have extensive connections to the theory of a single complex variable, number theory, algebraic and differential geometry, topology, Lie theory, representation theory, and group theory.
This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in...


cena:
113,40 zł 
RightOrdered Groups
ISBN: 9780306110603 / Angielski / Twarda / 250 str. The notion of rightordered groups is fundamental in theories of Igroups, ordered groups, torsionfree groups, and the theory of zerodivisors free rings, as well as in theoretical physics. RightOrdered Groups is the first book to provide a systematic presentation of rightordered group theory, describing all known and new results in the field. The volume addresses topics such as rightordered groups and order permutation groups, the system of convex subgroups of a rightordered group, and free products of rightordered groups.
The notion of rightordered groups is fundamental in theories of Igroups, ordered groups, torsionfree groups, and the theory of zerodivisors free r...


cena:
773,81 zł 