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˜The œtheory of finite groups : an introduction / par Kurzweil,, Hans, Publication : New York : Springer, 2004 . xii, 387 p. ; 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Applied finite group actions par Kerber, Adalbert Publication : New York Springer 1999 . 454 p. Date : 1999 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Buildings of Spherical Type and Finite Bn-Pairs. par Tits, J. Publication : New York Springer 2008 . 1 online resource. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Computation with finitely presented groups par Sims, Charles C. Publication : Cambridge Cambridge University Press 2010 . 604 pages , Research in computational group theory, an active subfield of computational algebra, has emphasized four areas: finite permutation groups, finite solvable groups, matrix representations of finite groups, and finitely presented groups. This book deals with the last of these areas. It is the first text to present the fundamental algorithmic ideas which have been developed to compute with finitely presented groups that are infinite, or at least not obviously finite. | The work of Baumslag, Cannonito, and Miller on computing nonabelian polycyclic quotients is described as a generalization of Buchberger's Grobner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups, and theoretical computer scientists will find this book useful. 25 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Finite groups and finite geometries par Tsuzuku, Toshirō Publication : Cambridge Cambridge University Press 2010 . x, 328 pages ; 22 cm. , Originally published: 1982. | Includes index. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Handbook of computational group theory par Holt, Derek F. Publication : [S.l.] Chapman and Hall/CRC 2005 . 536 p. , The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundamental methods and algorithms in CGT presented at a level accessible even to advanced undergraduate students. It develops the theory of algorithms in full detail and highlights the connections between the different aspects of CGT and other areas of computer algebra. While acknowledging the importance of the complexity analysis of CGT algorithms, the authors' primary focus is on algorithms that perform well in practice rather than on those with the best theoretical complexity. Throughout the book, applications of all the key topics and algorithms to areas both within and outside of mathematics demonstrate how CGT fits into the wider world of mathematics and science. The authors include detailed pseudocode for all of the fundamental algorithms, and provide detailed worked examples that bring the theorems and algorithms to life. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains par Ceccherini-Silberstein,, Tullio. Publication : Cambridge | New York Cambridge University Press 2008 . xiii, 440 pages 24 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Linear representations of finite groups par Serre, Jean-Pierre, Publication : New York Springer-Verlag 1996 . x, 170 pages 24 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Modular invariant theory par Campbell, H. E. A. Eddy Publication : Heidelberg | New York Springer. 2011 . xiii, 233 pages , "This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group. It explains a theory that is more complicated than the study of the classical non-modular case, and it describes many open questions. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers--an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter"--back cover. 24 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Reflection groups and coxeter groups par Humphreys, James E. Publication : Cambridge | New York | Melbourne Cambridge University Press 1990 . 220 p. , In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the theory of Coxeter groups. He assumes that the reader has a good knowledge of algebra, but otherwise the book is self contained. The first part is devoted to establishing concrete examples; the author begins by developing the most important facts about finite reflection groups and related geometry, and showing that such groups have a Coxeter representation. In the next chapter these groups are classified by Coxeter diagrams, and actual realizations of these groups are discussed. Chapter 3 discusses the polynomial invariants of finite reflection groups, and the first part ends with a description of the affine Weyl groups and the way they arise in Lie theory. The second part (which is logically independent of, but motivated by, the first) starts by developing the properties of the Coxeter groups. Chapter 6 shows how earlier examples and others fit into the general classification of Coxeter diagrams. Chapter 7 is based on the very important work of Kazhdan and Lusztig and the last chapter presents a number of miscellaneous topics of a combinatorial nature. 23 cm. Date : 1990 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Representations and characters of finite groups par Collins, Michael J. Publication : Cambridge Cambridge University Press 2008 . xii, 242 pages , Originally published: 1990. 23 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

The theory of fusion systems an algebraic approach par Craven, David A. Publication : Cambridge | New york Cambridge University Press 2011 . xii, 371 pages , "Fusion systems are a recent development in finite group theory and sit at the intersection of algebra and topology. This book is the first to deal comprehensively with this new and expanding field, taking the reader from the basics of the theory right to the state of the art. Three motivational chapters, indicating the interaction of fusion and fusion systems in group theory, representation theory and topology are followed by six chapters that explore the theory of fusion systems themselves. Starting with the basic definitions, the topics covered include: weakly normal and normal subsystems; morphisms and quotients; saturation theorems; results about control of fusion; and the local theory of fusion systems. At the end there is also a discussion of exotic fusion systems. Designed for use as a text and reference work, this book is suitable for graduate students and experts alike"-- 24 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Modular representations of finite groups / par Puttaswamaiah, B. M. Publication : . 1 online resource (xv, 242 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780125686501,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=73,

The representation theory of finite groups / par Feit, Walter, Publication : . 1 online resource (xiv, 502 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444861559,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=25,

Vertex operator algebras and the Monster / par Frenkel, Igor. Publication : . 1 online resource (liii, 508 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780122670657,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=134,

Character theory of finite groups / par Isaacs, I. Martin, Publication : . 1 online resource (xii, 303 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780123745507,

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