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References

  1. S. A. Amitsur, Finite subgroups of divison rings, Trans. Amer. Math. Soc.80 (1955) 361–386.

    Article  MATH  MathSciNet  Google Scholar 

  2. W. Burnside, Theory of groups of finite order (Cambridge, 1911).

  3. H. S. M. Coxeter, The polytope 221, whose 27 vertices correspond to the lines on the general cubic surface, Amer. J. Math.62 (1940) 457–486.

    Article  MATH  MathSciNet  Google Scholar 

  4. —, Groups generated by unitary reflections of period two, Canad. J. Math.9 (1957) 243–272.

    MATH  MathSciNet  Google Scholar 

  5. —, The symmetry groups of the regular complex polygons, Archiv. Math.13 (1962) 86–97.

    Article  MathSciNet  Google Scholar 

  6. H. S. M. Coxeter, Regular polytopes (New York, 1963).

  7. H. S. M. Coxeter, andW. O. J. Moser, Generators and relations for discrete groups, Erg. Math. N. F.14 (1965).

  8. D. W. Crowe, The groups of the regular complex polygons, Canad. J. Math.13 (1961) 149–156.

    MATH  MathSciNet  Google Scholar 

  9. —, Some two-dimensional unitary groups generated by three reflections, Canad. J. Math.13 (1961) 418–426.

    MATH  MathSciNet  Google Scholar 

  10. P. Du Val, Homographies quaternions and rotations (Oxford, 1964).

  11. G. C. Shephard, Unitary groups generated by reflections, Canad. J. Math.5 (1953) 364–383.

    MATH  MathSciNet  Google Scholar 

  12. —, Abstract definitions for reflection groups, Canad. J. Math.9 (1957) 273–276.

    MATH  MathSciNet  Google Scholar 

  13. G. C. Shephard andJ. A. Todd, Finite unitary reflection groups, Canad. J. Math.6 (1954) 274–304.

    MATH  MathSciNet  Google Scholar 

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Unter dem gleichen Titel hat der Verf. anläßlich eines wissenschaftlichen Kolloquiums im Juli 1966 im Mathematischen Seminar der Universität Hamburg vorgetragen.

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Coxeter, H.S.M. Finite groups generated by unitary reflections. Abh.Math.Semin.Univ.Hambg. 31, 125–135 (1967). https://doi.org/10.1007/BF02992390

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