Letters from William Burnside to Robert Fricke: automorphic functions, and the emergence of the Burnside Problem

@article{Adelmann2007LettersFW,
  title={Letters from William Burnside to Robert Fricke: automorphic functions, and the emergence of the Burnside Problem},
  author={Clemens Adelmann and Eberhard H.-A. Gerbracht},
  journal={Archive for History of Exact Sciences},
  year={2007},
  volume={63},
  pages={33-50}
}
Two letters from William Burnside have recently been found in the Nachlass of Robert Fricke that contain instances of the Burnside 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… 
4 Citations
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References

SHOWING 1-10 OF 37 REFERENCES
On the connexion of algebraic functions with automorphic functions
If u and z are variables connected by an algebraic equation, they are, in general, multiform functions of each other; the multiformity can be represented by a Riemann surface, to each point of which
The collected papers of William Burnside
1. List of contributors 2. Commentary on Burnside's Life and Work 3. Bibliography of William Burnside 4. The context of Burnside's contributions to group theory 5. A still unsettled question 7.
Representations of Finite Groups : A Hundred Years , Part I
Recapitulation The origin of the representation theory of finite groups can be traced back to a correspondence between R. Dedekind and F. G. Frobenius that took place in April of 1896. The present
An Introduction to the Theory of Groups of Finite Order
  • G. M.
  • Mathematics
    Nature
  • 1908
IN many ways this book will prove a useful companion to treatises already available; especially, perhaps, on account of the large number of examples which it contains, and the hints for their
Note on the simple group of order 504
The simple group of order 504 is completely defined by the relations (1) A T ~ 1, B ~ 1, (AB)S .~ 1, ( A 3 B A S B A ~ . B ) 2 ~ 1. To verify this statement, let v ~ A ~ B A S . B A 3 B , and o -~A .
Lehrbuch der algebra
Volume 1, Die Grundlagen: Rationale Functionen Determinanten Die Wurzeln algebraischer Gleichungen Symmetrische Functionen Lineare Transformation. Invariation Tschirnhausen-Transformation Die
...
...