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Title of Thesis

Combinatorial Problems in Braid Groups

Author(s)

Zaffar Iqbal

Institute/University/Department Details
Abdus Salam School of Mathematical Sciences / GC University, Lahore
Session
2009
Subject
Mathematics
Number of Pages
75
Keywords (Extracted from title, table of contents and abstract of thesis)
Combinatorial, Problems, Braid, Groups, Artin, Monoids, Deligne's Theorem

Abstract
No Abstract

Download Full Thesis
371 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 CONTENTS

 

v
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2

1

PRELIMINARIES

1.1 Braids

1.2 Braid Groups and Braid Monoids
1.3 Coxeter Groups and Artin Groups
1.4 Notations and Reduction Rules
1.5 Growth function and the Hilbert ser

4
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3 2 GARSIDE ELEMENTS OF SPHERICAL ARTIN MONOIDS

2.1 Introduction

2.2 Relative Garside Element

2.3 Computation of Relative Garside and Garside Elements

2.4 Complete Presentation of Some Artin Monoids

13
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4 3 HILBERT SERIES OF POSITIVE BRAIDS

3.1 Introduction

3.2 Proof of Deligne's Theorem
3.3 Generalization of Deligne's Theorem

28
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5 4 UNIVERSAL UPPER BOUND FOR THE GROWTH OF ARTIN MONOIDS

4.1 Introduction

4.2 The Hilbert Series of the Monoid K
4.3 Chebyshev Recurrence
4.4 The Monoid E
4.5 Spherical Artin Monoids

46
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6 5 BIBLIOGRAPHY

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