Abelian Groups: Structures and Classifications, Carol Jacoby, Peter Loth
Автор: Daniel Gorenstein, Richard Lyons, Ronald Solomon Название: The Classification of the Finite Simple Groups, Number 8: Part III, Chapters 12-17: The Generic Case, Completed ISBN: 1470441896 ISBN-13(EAN): 9781470441890 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach a major milestone in our series--the completion of the proof of the following theorem: Theorem O: Let G be a finite simple group of odd type, all of whose proper simple sections are known simple groups. Then either G is an alternating group or G is a finite group of Lie type defined over a field of odd order or G is one of six sporadic simple groups.Put another way, Theorem O asserts that any minimal counterexample to the classification of the finite simple groups must be of even type. The work of Aschbacher and Smith shows that a minimal counterexample is not of quasithin even type, while this volume shows that a minimal counterexample cannot be of generic even type, modulo the treatment of certain intermediate configurations of even type which will be ruled out in the next volume of our series.
Автор: Daniel Gorenstein, Richard Lyons, Ronald Solomon Название: The Classification of the Finite Simple Groups, Number 7: Part III, Chapters 7-11: The Generic Case, Stages 3b and 4a ISBN: 082184069X ISBN-13(EAN): 9780821840696 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: The classification of finite simple groups is a landmark result of modern mathematics. The multipart series of monographs which is being published by the AMS (Volume 40.1-40.7 and future volumes) represents the culmination of a century-long project involving the efforts of scores of mathematicians published in hundreds of journal articles, books, and doctoral theses, totaling an estimated 15,000 pages. This part 7 of the series is the middle of a trilogy (Volume 40.5, Volume 40.7, and forthcoming Volume 40.8) treating the Generic Case, i.e., the identification of the alternating groups of degree at least 13 and most of the finite simple groups of Lie type and Lie rank at least 4. Moreover, Volumes 40.4-40.8 of this series will provide a complete treatment of the simple groups of odd type, i.e., the alternating groups (with two exceptions) and the groups of Lie type defined over a finite field of odd order, as well as some of the sporadic simple groups. In particular, this volume completes the construction, begun in Volume 40.5, of a collection of neighboring centralizers of a particularly nice form. All of this is then applied to complete the identification of the alternating groups of degree at least 13.The book is suitable for graduate students and researchers interested in the theory of finite groups.
Автор: M. Rordam; E. Stormer Название: Classification of Nuclear C*-Algebras. Entropy in Operator Algebras ISBN: 364207605X ISBN-13(EAN): 9783642076053 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930`s and 1940`s.
Автор: P. E. Jr. Conner Название: Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers ISBN: 0292740670 ISBN-13(EAN): 9780292740679 Издательство: Marston Book Services Рейтинг: Цена: 26390.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: These lectures are intended to give mathematicians at the graduate level and beyond some powerful algebraic and number theoretical tools for formulating and solving certain types of classification problems in topology.
Автор: Helmut Strade Название: Completion of the Classification ISBN: 3110262983 ISBN-13(EAN): 9783110262988 Издательство: Walter de Gruyter Цена: 148700.00 T Наличие на складе: Невозможна поставка. Описание: The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 45 years has been directed by the Kostrikin–Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional restricted simple Lie algebra is classical or of Cartan type. This conjecture was proved for p > 7 by Block and Wilson in 1988. The generalization of the Kostrikin–Shafarevich Conjecture for the general case of not necessarily restricted Lie algebras and p > 7 was announced in 1991 by Strade and Wilson and eventually proved by Strade in 1998. The final Block–Wilson–Strade–Premet Classification Theorem is a landmark result of modern mathematics and can be formulated as follows: Every finite-dimensional simple Lie algebra over an algebraically closed field of characteristic p > 3 is of classical, Cartan, or Melikian type. In the three-volume book, the author is assembling the proof of the Classification Theorem with explanations and references. The goal is a state-of-the-art account on the structure and classification theory of Lie algebras over fields of positive characteristic leading to the forefront of current research in this field. This is the last of three volumes. In this monograph the proof of the Classification Theorem presented in the first volume is concluded. It collects all the important results on the topic which can be found only in scattered scientific literature so far.
Автор: Michael Skeide Название: Classification of E_0-Semigroups by Product Systems ISBN: 1470417383 ISBN-13(EAN): 9781470417383 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 84090.00 T Наличие на складе: Невозможна поставка. Описание: In these notes the author presents a complete theory of classification of E_0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial.
Автор: J?rg Winkelmann Название: The Classification of Three-dimensional Homogeneous Complex Manifolds ISBN: 3540590722 ISBN-13(EAN): 9783540590729 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph provides classifications of all three-dimensional complex manifolds for which a transitive action of a Lie group exists. The classifications are based on methods from Lie group theory, complex analysis and algebraic geometry.
Автор: Parrochia Daniel Название: Towards a General Theory of Classifications ISBN: 3034806086 ISBN-13(EAN): 9783034806084 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides an original and progressive introduction to the main questions of the theory of classification. It makes connections between previously separate domains of classification theory in applied mathematics, computer science and pure mathematics.
