Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups

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9780521719773: Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups

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.

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Recensione:

'Meier has the rare ability to make complex concepts accessible to novices while simultaneously challenging the experienced. … With well-chosen illustrations and examples, Meier succeeds brilliantly in this unique approach.' SciTech Book News

'… totally accessible to undergraduate students and would be a good textbook for an advanced undergraduate course in group theory, or a graduate course in geometric group theory.' Mathematical Review

'… an excellent introduction to geometric group theory. … Carefully chosen examples are an essential part of the exposition and they really help to understand general constructions.' EMS Newsletter

Descrizione del libro:

This book presents a modern, geometric approach to group theory. An accessible and engaging approach to the subject, with many exercises and figures to develop geometric intuition. Ideal for advanced undergraduates, it will also interest graduate students and researchers as a gentle introduction to geometric group theory.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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1.

John Meier
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521719771 ISBN 13: 9780521719773
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Condizione libro: New. 224 x 152 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAU9780521719773

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John Meier
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Descrizione libro Cambridge University Press. Paperback. Condizione libro: new. BRAND NEW, Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups, John Meier, 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. Codice libro della libreria B9780521719773

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John Meier
Editore: Cambridge University Press 2008-07-31, Cambridge (2008)
ISBN 10: 0521719771 ISBN 13: 9780521719773
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Descrizione libro Cambridge University Press 2008-07-31, Cambridge, 2008. paperback. Condizione libro: New. Codice libro della libreria 9780521719773

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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Condizione libro: New. 224 x 152 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAU9780521719773

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ISBN 10: 0521719771 ISBN 13: 9780521719773
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Descrizione libro Cambridge University Press, 2008. Condizione libro: New. 2008. 1st Edition. Paperback. This book presents an accessible and engaging approach to geometric group theory; ideal for advanced undergraduates. Series: London Mathematical Society Student Texts. Num Pages: 244 pages, 1 table 175 exercises. BIC Classification: PBG; PBM. Category: (UU) Undergraduate. Dimension: 227 x 153 x 14. Weight in Grams: 378. An Introduction to the Geometry of Infinite Groups. Series: London Mathematical Society Student Texts. 244 pages, 1 table 175 exercises. This 2008 book presents an accessible and engaging approach to geometric group theory; ideal for advanced undergraduates. Cateogry: (UU) Undergraduate. BIC Classification: PBG; PBM. Dimension: 227 x 153 x 14. Weight: 390. . . . . . . Codice libro della libreria V9780521719773

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97805217197730000000

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Descrizione libro Cambridge University Press. Condizione libro: New. 2008. 1st Edition. Paperback. This book presents an accessible and engaging approach to geometric group theory; ideal for advanced undergraduates. Series: London Mathematical Society Student Texts. Num Pages: 244 pages, 1 table 175 exercises. BIC Classification: PBG; PBM. Category: (UU) Undergraduate. Dimension: 227 x 153 x 14. Weight in Grams: 378. An Introduction to the Geometry of Infinite Groups. Series: London Mathematical Society Student Texts. 244 pages, 1 table 175 exercises. This 2008 book presents an accessible and engaging approach to geometric group theory; ideal for advanced undergraduates. Cateogry: (UU) Undergraduate. BIC Classification: PBG; PBM. Dimension: 227 x 153 x 14. Weight: 390. . . . . . Books ship from the US and Ireland. Codice libro della libreria V9780521719773

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Descrizione libro Cambridge University Press, 2008. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria BB-9780521719773

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Descrizione libro Cambridge University Press, 2008. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria I2-9780521719773

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Descrizione libro Cambridge Univ Pr, 2008. Paperback. Condizione libro: Brand New. 1st edition. 231 pages. 8.75x6.00x0.50 inches. In Stock. Codice libro della libreria __0521719771

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