The Extension of Diagram Group over Semigroup Presentation
Asian Research Journal of Mathematics · pp. 1–7 · Published 24 Feb 2023
10.9734/arjom/2023/v19i3644Abstract
In this paper, we will discuss the diagram groups from union of two semigroup presentations namely 2S , =< X,Y : X = Y >, 3S = < a,b,c : a = b, b = c,c = a, > and their two complex graphs will be presented. The covering space will be determined by selecting normal subgroup from diagram group that previously obtained from 2S U3S . Finally, the number of generator and relations of the diagram group can be computed.
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