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Finite Geometries with Simple, Semisimple and Quasisimple Fundamental Groups

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The Geometric Vein

Abstract

Deep connections between the classical theory of simple Lie groups and the theory of finite simple groups, discovered by C. Chevalley [1], lead to the construction of finite geometries analogous to geometries of classical Lie groups.

Section 1 of this paper was written by Boris A. Rosenfeld (Moscow). Section 2 by Nadezhda I. Haritonova (Cheboksary), and Section 3 by Irina N. Kashirina (Tula).

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References

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© 1981 Springer-Verlag New York Inc.

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Rosenfeld, B.A., Haritonova, N.I., Kashirina, I.N. (1981). Finite Geometries with Simple, Semisimple and Quasisimple Fundamental Groups. In: Davis, C., Grünbaum, B., Sherk, F.A. (eds) The Geometric Vein. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5648-9_31

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  • DOI: https://doi.org/10.1007/978-1-4612-5648-9_31

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-5650-2

  • Online ISBN: 978-1-4612-5648-9

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