Events

Abstract: We will first prove that isometries of upper half plane i.e. Isom(H) = P SL2(R). Using Bouwer’s fixed point theorem we will classify the elements of the group P SL2(R). The discrete subgroup of P SL2(R) is known as the Fuchsian group. At last, we will define the signature of the finitely generated Fuchsian group. If time permits then we will define the signature of finite groups.