Difference Methods and Ferrero Pairs

Tim Boykett () and Peter Mayr ()
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Tim Boykett: Johannes Kepler Universität Linz, Institut für Algebra
Peter Mayr: Johannes Kepler Universität Linz, Institut für Algebra

A chapter in Nearrings and Nearfields, 2005, pp 177-187 from Springer

Abstract: Abstract We present a construction method of BIB-designs from a finite group G and a group of automorphisms Φ on G such that |Φ(x)| = |Φ| for all x ∈ 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.

Keywords: Sylow Subgroup; Frobenius Group; Previous Construction; Generalize Quaternion; Trivial Center (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3391-9_7

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DOI: 10.1007/1-4020-3391-5_7

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