Construction of Ferrero Pairs of All Possible Orders
Abstract
The structure of Ferrero pairs in terms of the sizes of the groups involved is investigated and an explicit condition is obtained. For every pair of numbers satisfying this criterion, a Ferrero pair is constructed explicitly. Thus the determination of interesting Ferrero pairs cannot be determined from their direct numerical properties.
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References
1.
J. R. Clay, Nearrings: Geneses and Applications, Oxford University Press, Oxford, UK, 1992.
2.
Giovanni Ferrero, Stems planari e ‐disegni, Riv. Mat. Univ. Parma (2), 11 (1970), 79–96
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Wen Ke, Hubert Kiechle, Automorphisms of certain design groups, J. Algebra, 167 (1994), 488–500
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Published In
SIAM Journal on Discrete Mathematics
Pages: 283 - 285
ISSN (online): 1095-7146
Copyright
Copyright © 2001 Society for Industrial and Applied Mathematics.
History
Published online: 1 August 2006
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