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Zur Konstruktion geschlitzter Inzidenzgruppen

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Abstract

In the first part a derivation method for incidence-groups is developed. The connections to the usual derivations of near-rings are shown in part 2 and examples are constructed. We characterize those finite slit incidence-groups with special affine kernel which are derivations of abelian incidence-groups. Applying these results to special classes of finite incidence-groups we show that there are 2-sided non-abelian finite incidence-groups with abelian affine kernel. The class of derivations of abelian finite incidence-groups contains all splitting a-2-sided incidence-groups with abelian kernel and no splitting kernel-2-sided non-2-sided incidence-group with abelian kernel. In the last part the a-2-sided incidence-groups are algebraically described.

The results were partly communicated at the “Conference on Geometry” in March 1971 at the University of Waterloo, Ontario, Canada.

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Authors and Affiliations

  1. Institut für Mathematik, Technische Universität Hannover, Schneiderberg 50, 3 Hannover

    Irene Pieper

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  1. Irene Pieper
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Pieper, I. Zur Konstruktion geschlitzter Inzidenzgruppen. J Geom 2, 35–68 (1972). https://doi.org/10.1007/BF02148137

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