THE GRAPH OF DIAGRAM GROUPS FROM DIRECT PRODUCT OF TWO FREE SEMIGROUPS
Sri Mawarni, Abdul Ghafur Ahmad, Sri Gemawati · 2012
In this paper, we will discuss the diagram groups from direct product of two free semigroups $\left[X,Y|xy=yx (x \in X, y \in Y)\right]$ and their graphs will be presented. The graphs obtained are related to the word length and the exponent sum. The exponent sum of $X$ is three and the exponent sum of $Y$ is $n ( N)$. Finally, the number of generator of the diagram group can be determined.