Algebraische Darstellung einiger Klassen nicht-zweiseitiger Inzidenzgruppen

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.

Irene Pieper

Papers

Zur Konstruktion geschlitzter Inzidenzgruppen