Lift Of 2-Complexes From Diagram Groups Over The Semigroup: Study Of Diagram Groups, Lift Of 2-Complexes, Extension Of Diagram Groups - Couverture souple

Gheisari, Yousof

 
9783659674525: Lift Of 2-Complexes From Diagram Groups Over The Semigroup: Study Of Diagram Groups, Lift Of 2-Complexes, Extension Of Diagram Groups

Synopsis

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.

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Présentation de l'éditeur

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.

Biographie de l'auteur

He received the B.Sc. degree in pure mathematics from Shiraz University, Iran and Master degree in pure mathematics from Mashhad Khayyam University, Iran and Ph.D. degree in pure mathematics from National University of Malaysia. His current research interests includes graph theory, mathematical modeling, numerical methods.

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