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Trees, Serre Jean-Pierre, Stilwell J.


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Цена: 5138р.
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Наличие: Поставка под заказ.  Есть в наличии на складе поставщика.
Склад Англия: 631 шт.  Склад Америка: 130 шт.  
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Автор: Serre Jean-Pierre, Stilwell J.
Название:  Trees
Издательство: Springer
Классификация:
Алгебра
Комбинаторика и теория графа

ISBN: 3540442375
ISBN-13(EAN): 9783540442370
ISBN: 3-540-44237-5
ISBN-13(EAN): 978-3-540-44237-0
Обложка/Формат: Hardback
Страницы: 151
Вес: 0.402 кг.
Дата издания: 25.11.2002
Серия: Springer Monographs in Mathematics
Язык: ENG
Издание: 1st ed. 1980. corr.
Иллюстрации: Illustrations
Размер: 23.98 x 16.00 x 1.37 cm
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: From the reviews: Serres notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups. This fine translation is very welcome and I strongly recommend it as an introduction to an important subject. In Chapter I, which is self-contained, the pace is fairly gentle. The author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the (rather difficult) proof of the general case. (A.W. Mason in Proceedings of the Edinburgh Mathematical Society 1982)
Дополнительное описание: Формат: 235x155
Круг читателей: Researchers and graduate students
Ключевые слова: algebra
amalgams
graphs
groups
Язык: fre
Издание: 1st ed. 1980. Corr. 2nd p
Оглавление: Chapter I: Trees and Amalgams: Amalgams.- Trees.- Trees and free groups.- Trees and amalgams.- Structure of a group acting on a tree.- Amalgams and fixed points Chapter II: SL(2):The tree of SL(2) over a local field.- Arithmetic subgroups of the groups GL(2) and SL(2) over a function field of one variable.





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Groups, Graphs and Trees

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Название: Groups, Graphs and Trees
ISBN: 0521895456 ISBN-13(EAN): 9780521895453
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Описание: Presenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids a fascinating geometric perspective on group theory - which is also useful and powerful, particularly in the study of infinite groups. This book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core techniques and theorems are developed and recent research is explored. Exercises and figures throughout the text encourage the development of geometric intuition. Ideal for advanced undergraduates looking to deepen their understanding of groups, this book will also be of interest to graduate students and researchers as a gentle introduction to geometric group theory.

A Universal Construction for Groups Acting Freely on Real Trees

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Описание: The theory of R-trees is a well-established and important area of geometric group theory and in this book the authors introduce a construction that provides a new perspective on group actions on R-trees. They construct a group RF(G), equipped with an action on an R-tree, whose elements are certain functions from a compact real interval to the group G. They also study the structure of RF(G), including a detailed description of centralizers of elements and an investigation of its subgroups and quotients. Any group acting freely on an R-tree embeds in RF(G) for some choice of G. Much remains to be done to understand RF(G), and the extensive list of open problems included in an appendix could potentially lead to new methods for investigating group actions on R-trees, particularly free actions. This book will interest all geometric group theorists and model theorists whose research involves R-trees.

Groups, Graphs and Trees

Автор: John Meier
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Описание: Presenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids a fascinating geometric perspective on group theory - which is also useful and powerful, particularly in the study of infinite groups. This book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core techniques and theorems are developed and recent research is explored. Exercises and figures throughout the text encourage the development of geometric intuition. Ideal for advanced undergraduates looking to deepen their understanding of groups, this book will also be of interest to graduate students and researchers as a gentle introduction to geometric group theory.

Random Trees

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Описание: Trees are a fundamental object in graph theory and combinatorics as well as a basic object for data structures and algorithms in computer science. This book provides an introduction into various aspects of trees in random settings and a systematic treatment of the involved mathematical techniques.


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