Groups And Their Graphs
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Groups And Their Graphs
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Author : Israel Grossman
language : en
Publisher:
Release Date : 1992
Groups And Their Graphs written by Israel Grossman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Graph theory categories.
Groups And Their Graphs
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Author : I. M. Grossman
language : en
Publisher:
Release Date : 1904
Groups And Their Graphs written by I. M. Grossman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1904 with categories.
Groups And Their Graphs
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Author : Israel Grossman
language : en
Publisher:
Release Date : 1964
Groups And Their Graphs written by Israel Grossman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Application Of Groups And Their Graphs
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Author : David Steven Wiemiller
language : en
Publisher:
Release Date : 1970
Application Of Groups And Their Graphs written by David Steven Wiemiller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Group theory categories.
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 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.
Graphs Of Groups Their Properties
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Author : Kathleen Mary Flanagan
language : en
Publisher:
Release Date : 1974
Graphs Of Groups Their Properties written by Kathleen Mary Flanagan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Low Rank Representations And Graphs For Sporadic Groups
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Author : Cheryl E. Praeger
language : en
Publisher: Cambridge University Press
Release Date : 1996-12-05
Low Rank Representations And Graphs For Sporadic Groups written by Cheryl E. Praeger 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 1996-12-05 with Mathematics categories.
This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups, together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list of all vertex-transitive, distance-regular graphs on which a sporadic almost simple group acts with rank at most five. In this list are some new, interesting distance-regular graphs of diameter two, which are not distance-transitive. For most of the representations a presentation of the sporadic group is given, with words in the given generators which generate a point stabiliser: this gives readers sufficient information to reconstruct and study the representations and graphs. Practical computational techniques appropriate for analysing finite vertex-transitive graphs are described carefully, making the book an excellent starting point for learning about groups and the graphs on which they act.
Cayley Graphs Of Groups And Their Applications
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Author : Anna M. Tripi
language : en
Publisher:
Release Date : 2017
Cayley Graphs Of Groups And Their Applications written by Anna M. Tripi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Algebra, Abstract categories.
Cayley graphs are graphs associated to a group and a set of generators for that group (there is also an associated directed graph). The purpose of this study was to examine multiple examples of Cayley graphs through group theory, graph theory, and applications. We gave background material on groups and graphs and gave numerous examples of Cayley graphs and digraphs. This helped investigate the conjecture that the Cayley graph of any group (except Z2) is hamiltonian. We found the conjecture to still be open. We found Cayley graphs and hamiltonian cycles could be applied to campanology (in particular, to the change ringing of bells).
Graphs Of Groups On Surfaces
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Author : A.T. White
language : en
Publisher: Elsevier
Release Date : 2001-04-27
Graphs Of Groups On Surfaces written by A.T. White and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-27 with Mathematics categories.
The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics, such as hypergraphs, block designs, finite geometries, and finite fields. There are chapters on the emerging subfields of enumerative topological graph theory and random topological graph theory, as well as a chapter on the composition of English church-bell music. The latter is facilitated by imbedding the right graph of the right group on an appropriate surface, with suitable symmetries. Throughout the emphasis is on Cayley maps: imbeddings of Cayley graphs for finite groups as (possibly branched) covering projections of surface imbeddings of loop graphs with one vertex. This is not as restrictive as it might sound; many developments in topological graph theory involve such imbeddings. The approach aims to make all this interconnected material readily accessible to a beginning graduate (or an advanced undergraduate) student, while at the same time providing the research mathematician with a useful reference book in topological graph theory. The focus will be on beautiful connections, both elementary and deep, within mathematics that can best be described by the intuitively pleasing device of imbedding graphs of groups on surfaces.