It was Fuchs' work on this inverse function which led Poincaré to introduce what he called a Fuchsian group, and use this as a fundamental concept in the development of the theory of automorphic functions.
Ito ay Fuchs' sa trabaho na ito kabaligtaran function na humantong Poincaré sa ipakilala niya kung ano ang tinatawag na isang Fuchsian grupo, at gamitin ito bilang isang pangunahing konsepto sa pag-unlad ng teorya ng automorphic function.