Title of article :
Components in Graphs of Diagram Groups over the Union of Two Semigroup Presentations of Integers
Author/Authors :
GHEISARI, YOUSOF Islamic Azad University, Boushehr Branch - Department of Mathematics, ايران , BIN AHMAD, ABD GHAFUR Universiti Kebangsaan Malaysia - Faculty of Science and Technology - School of Mathematical Science, Malaysia
Abstract :
Given any semigroup presentation, we may obtain the diagram group. The purpose of this paper is to determine the graphs Tn(P), (n (element of) N), which are obtained from diagram group for the union of two semigroup presentations of integers with s and t different initial generators. The number of vertices and edges in these graphs will be computed.
Keywords :
Diagram groups , generators , initial generators , relation , semigroup presentation
