Abstract
The following article is part of the first chapter of Dehn’s lectures on group theory, probably written in 1909 or 1910. The date can be guessed from the next chapter of the notes, which includes an outline of some results from the famous paper, Dehn [1910], mentioning that details will appear in the Mathematische Annalen, which indeed they did in 1910.
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References
W. Burnside [1911]: Theory of Groups of Finite Order 2nd ed., Cambridge University Press
A. Cayley [1878]: On the theory of groups Proc. Lond. Math. Soc. 9, 126–133
H.S.M. Coxeter [1939]: The abstract groups Gm,n,p Trans. Amer. Math. Soc. 45, 73–150 [1979]: The non-euclidean symmetry of Escher’s picture ‘Circle Limit III’ Leonardo 12, 19–25
M. Dehn [1910]:Über die Topologie des dreidimensionalen Raumes. Math. Ann. 69, 137–168.
W. Dyck [1882]: Gruppentheorestische Studien Math. Ann. 20, 1–45
W. Magnus [1974]: Noneuclidean Tesselations and Their Groups. Academic Press.
P.S. Novikov [1955]: On the algorithmic unsolvability of the word problem in group theory (Russian) Trudy Mat. Inst. Steklov 44, 143 pp.
H.A. Schwarz [1872]: Ueber diejenige Falle, in welchem die Gaussische hypergeometrische Reihe eine algebraische Function ihres vierten Elementes darstell. J. reine u. angew. Math. 75, 292–335„
W. Threlfall [1932]: Gruppenbilder Abh. sachs. Akad. Wiss. Math-phys. Kl. 41, 1–59.
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Dehn, M. (1987). Translator’s Introduction. In: Papers on Group Theory and Topology. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4668-8_1
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DOI: https://doi.org/10.1007/978-1-4612-4668-8_1
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