Описание: This substantially revised and expanded new edition of the bestselling textbook, addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp.
Автор: Mark V. Sapir; Victor S. Guba; Mikhail V. Volkov Название: Combinatorial Algebra: Syntax and Semantics ISBN: 3319375903 ISBN-13(EAN): 9783319375908 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Combinatorial Algebra: Syntax and Semantics provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of more than 20 fundamental results, both classical and modern. This includes Golod-Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass-Guivarc'h theorem about growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata.
With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience. No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this textbook extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the "Further reading and open problems" sections at the end of Chapters 2 -5.
The book can also be used for self-study, engaging those beyond t
he classroom setting: researchers, instructors, students, virtually anyone who wishes to learn and better understand this important area of mathematics.
Автор: Paul Latiolais Название: Topology and Combinatorial Group Theory ISBN: 354052990X ISBN-13(EAN): 9783540529903 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Demonstrates the interaction between algebraic topology, very low dimensional topology and combinatorial group theory. This book discusses the use of obstruction groups to distinguish certain exact sequences and several graph theoretic techniques with applications to the theory of groups.
Автор: Laurent Bartholdi; Tullio Ceccherini-Silberstein; Название: Infinite Groups: Geometric, Combinatorial and Dynamical Aspects ISBN: 3764374462 ISBN-13(EAN): 9783764374464 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Covers advances in the theory of infinite groups. This work covers topics including amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups.
Автор: Vladimir Shpilrain; Alexander Mikhalev; Jie-tai Yu Название: Combinatorial Methods ISBN: 1441923446 ISBN-13(EAN): 9781441923448 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.
Автор: Gilbert Baumslag Название: Topics in Combinatorial Group Theory ISBN: 3764329211 ISBN-13(EAN): 9783764329211 Издательство: Springer Рейтинг: Цена: 4186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. This title features notes that deals with many topics in combinatorial group theory.
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