Articles liés à The Braid Groups: A Combinatorial Aspect of Braid Groups

The Braid Groups: A Combinatorial Aspect of Braid Groups - Couverture souple

IQBAL, ZAFFAR

 
9783844321562: The Braid Groups: A Combinatorial Aspect of Braid Groups
Couverture souple
ISBN 10 : 384432156X ISBN 13 : 9783844321562
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

The braid groups were mainly studied by E. Artin in 1925. After that a lot of improvement has been seen in this area and the theory was established as a theory of braids. For example J. S. Birman and P. Dehornoy, etc, have great contributions in this subject. This book contains the basic notions of braids and braid monoids. Using the Bokut's non-commutative Grobner bases we have given an algorithm to compute inductively the Hilbert series of all the braid monoids and we gave examples for few initial values. Here we have given the growth rates of braid monoids with three and with four strings and shown that the growth functions of these monoids are exponential. In this book we have described the Garside elements of some spherical Artin monoids. At the end we have proved that for the spherical Artin monoids the growth rate is bounded above by 4.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The braid groups were mainly studied by E. Artin in 1925. After that a lot of improvement has been seen in this area and the theory was established as a theory of braids. For example J. S. Birman and P. Dehornoy, etc, have great contributions in this subject. This book contains the basic notions of braids and braid monoids. Using the Bokut's non-commutative Grobner bases we have given an algorithm to compute inductively the Hilbert series of all the braid monoids and we gave examples for few initial values. Here we have given the growth rates of braid monoids with three and with four strings and shown that the growth functions of these monoids are exponential. In this book we have described the Garside elements of some spherical Artin monoids. At the end we have proved that for the spherical Artin monoids the growth rate is bounded above by 4.

Biographie de l'auteur

The author has done his M.Phil from Quaid-i-Azam UniversityIslamabad and Ph.D from Abdus Salam School of MathrmaticalScinces, GCU Lahore Pakistan. Currently working asAssistant Professor at University of Gujrat, Pakistan. He hasgiven his talks at ICTP Italy and at Banach International Centerfor Mathematics Warszawa Poland too.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
384432156X
ISBN 13 
9783844321562
Reliure
Broché
Nombre de pages
64
Coordonnées du fabricant
non disponible
Personne responsable
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