62702
Free groups first arose in the study of hyperbolic geometry , as examples of Fuchsian groups ( discrete groups acting by isometries on the hyperbolic plane ) .
 person: Fuchsian
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Fuchsian 
Answer:
 person: Fuchsian