Diagram Groups

Diagram Groups PDF Author: Victor Guba
Publisher: American Mathematical Soc.
ISBN: 0821806394
Category : Mathematics
Languages : en
Pages : 130

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Book Description
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 Groups

Diagram Groups PDF Author: Victor Guba
Publisher: American Mathematical Soc.
ISBN: 0821806394
Category : Mathematics
Languages : en
Pages : 130

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Book Description
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.

Complete Drawing Course

Complete Drawing Course PDF Author: Diagram Group
Publisher: Sterling Publishing Company, Inc.
ISBN: 9780806948386
Category : Drawing
Languages : en
Pages : 260

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Book Description
This progressive course enables even the complete novice to tap into the magic of drawing, to use art to discover the world, and to create significant personal responses to reality and ideas. 768 illustrations.

Geometric and Cohomological Group Theory

Geometric and Cohomological Group Theory PDF Author: Peter H. Kropholler
Publisher: Cambridge University Press
ISBN: 131662322X
Category : Mathematics
Languages : en
Pages : 277

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Book Description
Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.

An Introduction to the Theory of Groups of Finite Order

An Introduction to the Theory of Groups of Finite Order PDF Author: Harold Hilton
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 268

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Book Description


Diagrammatic Representation and Inference

Diagrammatic Representation and Inference PDF Author: Jens Lemanski
Publisher: Springer Nature
ISBN: 3031712919
Category : Artificial intelligence
Languages : en
Pages : 500

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Book Description
This book constitutes the refereed proceedings of the 14th International Conference on the Theory and Application of Diagrams, Diagrams 2024, held in Münster, Germany, during September 27–October 1, 2024. The 17 full papers, 19 short papers and 11 papers of other types included in this book were carefully reviewed and selected from 69 submissions. They were organized in topical sections as follows: Keynote Talks; Analysis of Diagrams; Euler and Venn Diagrams; Diagrams in Logic; Diagrams and Applications; Diagram Tools; Historical Aspects of Diagrams; and Posters.

The Generation Problem in Thompson Group $F$

The Generation Problem in Thompson Group $F$ PDF Author: Gili Golan Polak
Publisher: American Mathematical Society
ISBN: 1470467232
Category : Mathematics
Languages : en
Pages : 106

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Book Description
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Plant Systematics

Plant Systematics PDF Author: Gurcharan Singh
Publisher: Science Publishers
ISBN: 9781578083510
Category : Science
Languages : en
Pages : 576

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Book Description
"The book strikes a balance between classical fundamental information and the recent developments in plant systematics. Special attention has been devoted to the information on botanical nomenclature, identification and phylogeny of angiosperms with numerous relevant examples and detailed explanation of the important nomenclatural problems. An attempt has been made to present a continuity between orthodox and contemporary identification methods by working on a common example. The methods of identification using computers have been further explored to help better online identification. The chapter on cladistic methods has been totally revised, and molecular systematics discussed in considerable detail."--Jacket.

Algorithmic Problems in Groups and Semigroups

Algorithmic Problems in Groups and Semigroups PDF Author: Jean-Camille Birget
Publisher: Springer Science & Business Media
ISBN: 1461213886
Category : Mathematics
Languages : en
Pages : 312

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Book Description
This volume contains papers which are based primarily on talks given at an inter national conference on Algorithmic Problems in Groups and Semigroups held at the University of Nebraska-Lincoln from May ll-May 16, 1998. The conference coincided with the Centennial Celebration of the Department of Mathematics and Statistics at the University of Nebraska-Lincoln on the occasion of the one hun dredth anniversary of the granting of the first Ph.D. by the department. Funding was provided by the US National Science Foundation, the Department of Math ematics and Statistics, and the College of Arts and Sciences at the University of Nebraska-Lincoln, through the College's focus program in Discrete, Experimental and Applied Mathematics. The purpose of the conference was to bring together researchers with interests in algorithmic problems in group theory, semigroup theory and computer science. A particularly useful feature of this conference was that it provided a framework for exchange of ideas between the research communities in semigroup theory and group theory, and several of the papers collected here reflect this interac tion of ideas. The papers collected in this volume represent a cross section of some of the results and ideas that were discussed in the conference. They reflect a synthesis of overlapping ideas and techniques stimulated by problems concerning finite monoids, finitely presented mono ids, finitely presented groups and free groups.

Theory of Groups of Finite Order

Theory of Groups of Finite Order PDF Author: William Burnside
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 548

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Book Description


Data Mining in E-learning

Data Mining in E-learning PDF Author: Cristobal Romero
Publisher: WIT Press
ISBN: 1845641523
Category : Computers
Languages : en
Pages : 329

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Book Description
The development of e-learning systems, particularly, web-based education systems, has increased exponentially in recent years. Following this line, one of the most promising areas is the application of knowledge extraction. As one of the first of its kind, this book presents an introduction to e-learning systems, data mining concepts and the interaction between both areas.