Browsing by Author "Elamin, Amel Omar"
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Item AUTOMORPHISMS OF THE GRAPH OF CURVES(2017-05-02) Elamin, Amel Omar; Atalan Ozan, FeriheIn this thesis, we study the automorphisms of a certain graph of nonseparating curves and automorphisms of complexes of two-sided curves on surfaces. In Chapter 3, we deal with the work of P. S. Schaller on mapping class groups of hyperbolic surfaces and automorphism groups of graphs for orientable surfaces of genus g ≥ 1 with n punctures. More precisely, it is shown that the automorphism group of the certain graph is isomorphic to the extended mapping class group of the orientable surface proved by Schaller. In the last chapter of this thesis, we study the automorphisms of the complexes of two-sided simple closed curves on nonorientable surfaces of genus g with n holes.