English

Difference Methods and Ferrero Pairs

Combinatorics 2007-05-23 v1 Group Theory

Abstract

We present a construction method of BIB-designs from a finite group G and a group of automorphisms \Phi on G such that |\Phi(x)| = |\Phi| for all x in G, x <> 0. By using a generalization of the concept of a difference family we can so unify several previous constructions of BIB-designs from planar near-rings.

Cite

@article{arxiv.math/0401239,
  title  = {Difference Methods and Ferrero Pairs},
  author = {Tim Boykett and Peter Mayr},
  journal= {arXiv preprint arXiv:math/0401239},
  year   = {2007}
}

Comments

submitted to the proceedings of the nearring conference in Hamburg, 2003