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2.2 Goals of the project

Based on the existing results described in the list 1 to 6 of Section 2.1 we want to attack the following problems (The numbering corresponds to that of 2.1):

  1. In the part of the project that deals with Frobenius groups, we want to

  2. There exists a great variety of established methods to obtain designs (see e.g. [BJL99b,BJL99a]). It is therefore necessary for us to

    In [Mod89] it is conjectured that the automorphism group of a design $ D$ defined as in 2.1.2 is of the form $ G\cdot N_A(\Phi)$ with $ G$ the additive group of the near-ring, $ \Phi$ the fixed-point-free automorphism group used to obtain the near-ring multiplication, and $ N_A(\Phi)$ the normalizer of $ \Phi$ in the automorphism group $ A$ of $ G$.

    This conjecture in its full generality could already be refuted using SONATA. We now want to

  3. [4.] Structure theory of planar near-rings and $ 1$-primitive near-rings. We want to:

  4. [5.] In order to construct and count the polynomial functions on Frobenius groups using the results in [Aic01], we have to determine the restrictions of polynomial functions to the Frobenius kernel.

    We want to


next up previous
Next: 2.3 Methodology Up: Description of the project: Previous: 2.1.4 Positioning of this
Peter Mayr 2002-08-12