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Diagram Groups


Diagram Groups
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Diagram Groups


Diagram Groups
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Author : Victor Guba
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Diagram Groups written by Victor Guba and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.


Diagram groups are groups consisting of spherical diagrams (pictures) over monoid presentations. They can be also defined as fundamental groups of the Squier complexes associated with monoid presentations. The authors show that the class of diagram groups contains some well-known groups, such as the R. Thompson group F. This class is closed under free products, finite direct products, and some other group-theoretical operations. The authors develop combinatorics on diagrams similar to the combinatorics on words. This helps in finding some structure and algorithmic properties of diagram groups. Some of these properties are new even for R. Thompson's group F. In particular, the authors describe the centralizers of elements in F, prove that it has solvable conjugacy problems, etc.



Diagram Geometry


Diagram Geometry
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Author : Francis Buekenhout
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-26

Diagram Geometry written by Francis Buekenhout 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 2013-01-26 with Mathematics categories.


This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing recourse to further literature. A strong point of the book is the density of examples.



Diagram Groups And Their Action On Farley Complexes


Diagram Groups And Their Action On Farley Complexes
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Author : Yael Algom Kfir
language : en
Publisher:
Release Date : 2005

Diagram Groups And Their Action On Farley Complexes written by Yael Algom Kfir and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Groups And Their Graphs


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.




Graphs As Groups


Graphs As Groups
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2009

Graphs As Groups written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


For the first time, every finite group is represented in the form of a graph in this book. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups.



Lift Of 2 Complexes From Diagram Groups Over The Semigroup


Lift Of 2 Complexes From Diagram Groups Over The Semigroup
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Author : Yousof Gheisari
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2015-01-13

Lift Of 2 Complexes From Diagram Groups Over The Semigroup written by Yousof Gheisari and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-13 with categories.


Our interest in the new method to study of diagram groups, is motivated by kilibarda's theorems (1994,1997), Guba and Sapir (1997). As the fundamental group isomorphism to diagram group, then it is easier than to work with fundamental groups instead of diagram groups. For any given semigroup presentation, we may obtain the 2- complexes of diagram groups. Using lifting method we would like to determine the specific generators, relations (2-cells), and spanning trees of 2-complexes from fundamental group.



Diagram Groups Braid Groups And Orderability


Diagram Groups Braid Groups And Orderability
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Author : Bert Wiest
language : en
Publisher:
Release Date : 2002

Diagram Groups Braid Groups And Orderability written by Bert Wiest and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.




The Diagram Approach To The Study Of Varieties Of Groups


The Diagram Approach To The Study Of Varieties Of Groups
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Author : Daniel J. Balik
language : en
Publisher:
Release Date : 1968

The Diagram Approach To The Study Of Varieties Of Groups written by Daniel J. Balik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Group theory categories.




Decision Diagram Techniques For Micro And Nanoelectronic Design Handbook


Decision Diagram Techniques For Micro And Nanoelectronic Design Handbook
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Author : Svetlana N. Yanushkevich
language : en
Publisher: CRC Press
Release Date : 2018-10-03

Decision Diagram Techniques For Micro And Nanoelectronic Design Handbook written by Svetlana N. Yanushkevich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Technology & Engineering categories.


Decision diagram (DD) techniques are very popular in the electronic design automation (EDA) of integrated circuits, and for good reason. They can accurately simulate logic design, can show where to make reductions in complexity, and can be easily modified to model different scenarios. Presenting DD techniques from an applied perspective, Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook provides a comprehensive, up-to-date collection of DD techniques. Experts with more than forty years of combined experience in both industrial and academic settings demonstrate how to apply the techniques to full advantage with more than 400 examples and illustrations. Beginning with the fundamental theory, data structures, and logic underlying DD techniques, they explore a breadth of topics from arithmetic and word-level representations to spectral techniques and event-driven analysis. The book also includes abundant references to more detailed information and additional applications. Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook collects the theory, methods, and practical knowledge necessary to design more advanced circuits and places it at your fingertips in a single, concise reference.



Dimension Groups And Dynamical Systems


Dimension Groups And Dynamical Systems
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Author : Fabien Durand
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-03

Dimension Groups And Dynamical Systems written by Fabien Durand 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 2022-02-03 with Mathematics categories.


This is the first self-contained exposition of the connections between symbolic dynamical systems, dimension groups and Bratteli diagrams.