Groups Graphs And Trees
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Groups Graphs And Trees
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Author : John Meier
language : en
Publisher: Cambridge University Press
Release Date : 2008-07-31
Groups Graphs And Trees written by John Meier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-31 with Mathematics categories.
This outstanding new 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.
Groups Graphs And Trees
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Author : John Meier
language : en
Publisher: Cambridge University Press
Release Date : 2008-07-31
Groups Graphs And Trees written by John Meier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-31 with Mathematics categories.
This outstanding new 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.
Trees
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Author : Jean-Pierre Serre
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Trees written by Jean-Pierre Serre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.
From the reviews: "Serre's 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)
Groups Acting On Graphs
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Author : Warren Dicks
language : en
Publisher: Cambridge University Press
Release Date : 1989-03-09
Groups Acting On Graphs written by Warren Dicks and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-09 with Mathematics categories.
Originally published in 1989, this is an advanced text and research monograph on groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic. Much of the book occurs at the one-dimensional level, where the topology becomes graph theory. Two-dimensional topics include the characterization of Poincare duality groups and accessibility of almost finitely presented groups. The main three-dimensional topics are the equivariant loop and sphere theorems. The prerequisites grow as the book progresses up the dimensions. A familiarity with group theory is sufficient background for at least the first third of the book, while the later chapters occasionally state without proof and then apply various facts which require knowledge of homological algebra and algebraic topology. This book is essential reading for anyone contemplating working in the subject.
Groups Graphs And Random Walks
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Author : Tullio Ceccherini-Silberstein
language : en
Publisher: Cambridge University Press
Release Date : 2017-06-29
Groups Graphs And Random Walks written by Tullio Ceccherini-Silberstein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-29 with Mathematics categories.
An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.
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Author : Vladimir A. Evstigneev
language : zh-CN
Publisher:
Release Date : 2006
written by Vladimir A. Evstigneev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Algorithms categories.
中国科学院科学出版基金资助出版
Profinite Graphs And Groups
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Author : Luis Ribes
language : en
Publisher: Springer
Release Date : 2017-08-23
Profinite Graphs And Groups written by Luis Ribes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-23 with Mathematics categories.
This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject. The author begins by carefully developing relevant notions in topology, profinite groups and homology, including free products of profinite groups, cohomological methods in profinite groups, and fixed points of automorphisms of free pro-p groups. The final part of the book is dedicated to applications of the profinite theory to abstract groups, with sections on finitely generated subgroups of free groups, separability conditions in free and amalgamated products, and algorithms in free groups and finite monoids. Profinite Graphs and Groups will appeal to students and researchers interested in profinite groups, geometric group theory, graphs and connections with the theory of formal languages. A complete reference on the subject, the book includes historical and bibliographical notes as well as a discussion of open questions and suggestions for further reading.
Combinatorial Enumeration Of Groups Graphs And Chemical Compounds
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Author : Georg Polya
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Combinatorial Enumeration Of Groups Graphs And Chemical Compounds written by Georg Polya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Groups Graphs And Hypergraphs Average Sizes Of Kernels Of Generic Matrices With Support Constraints
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Author : Tobias Rossmann
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-18
Groups Graphs And Hypergraphs Average Sizes Of Kernels Of Generic Matrices With Support Constraints written by Tobias Rossmann and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-18 with Mathematics categories.
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Groups And Graphs Designs And Dynamics
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Author : R. A. Bailey
language : en
Publisher: Cambridge University Press
Release Date : 2024-05-30
Groups And Graphs Designs And Dynamics written by R. A. Bailey and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-30 with Mathematics categories.
This collection of four short courses looks at group representations, graph spectra, statistical optimality, and symbolic dynamics, highlighting their common roots in linear algebra. It leads students from the very beginnings in linear algebra to high-level applications: representations of finite groups, leading to probability models and harmonic analysis; eigenvalues of growing graphs from quantum probability techniques; statistical optimality of designs from Laplacian eigenvalues of graphs; and symbolic dynamics, applying matrix stability and K-theory. An invaluable resource for researchers and beginning Ph.D. students, this book includes copious exercises, notes, and references.