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LETTERS FROM WILLIAM BURNSIDE TO ROBERT FRICKE: AUTOMORPHIC FUNCTIONS, AND THE EMERGENCE OF THE BURNSIDE PROBLEM (2008)
| Content Provider | CiteSeerX |
|---|---|
| Author | Adelmann, Clemens Eberhard Gerbracht, H. -A. |
| Abstract | Abstract. Two letters from William Burnside have recently been found in the Nachlass of Robert Fricke that contain instances of Burnside’s Problem prior to its first publication. We present these letters as a whole to the public for the first time. We draw a picture of these two mathematicians and describe their activities leading to their correspondence. We thus gain an insight into their respective motivations, reactions, and attitudes, which may sharpen the current understanding of professional and social interactions of the mathemat-ical community at the turn of the 20th century. 1. The simple group of order 504 – a first meeting of minds Until 1902, when the publication list of the then fifty-year-old William Burnside already encompassed 90 papers, only one of these had appeared in a non-British journal: a three-page article [5] entitled “Note on the simple group of order 504” in volume 52 of Mathematische Annalen in 1898. In this paper Burnside deduced a presentation of that group in terms of generators and relations,1 which is based on the fact that it is isomorphic to the group of linear fractional transformations with |
| File Format | |
| Publisher Date | 2008-01-01 |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
