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Two letters from William Burnside have recently been found in the Nachlass ofRobert Fricke that contain instances of Burnside's Problem prior to its firstpublication. We present these letters as a whole to the public for the firsttime. We draw a picture of these two mathematicians and describe theiractivities leading to their correspondence. We thus gain an insight into theirrespective motivations, reactions, and attitudes, which may sharpen the currentunderstanding of professional and social interactions of the mathematicalcommunity at the turn of the 20th century.

Letters from William Burnside to Robert Fricke: Automorphic Functions, and the Emergence of the Burnside Problem