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Moreover , the transition maps are smooth , making the diffeomorphism group into a Fréchet manifold and even into a regular Fréchet Lie group .
 person: Fréchet; person: Fréchet Lie
Please list all entity words in the text that fit the category.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
Answer:
 person: Fréchet; person: Fréchet Lie