Hostname: page-component-848d4c4894-xm8r8 Total loading time: 0 Render date: 2024-06-25T18:02:25.932Z Has data issue: false hasContentIssue false
  • English
  • Français

On relative difference sets and projective planes

Published online by Cambridge University Press:  18 May 2009

Fred Piper
Fred Piper
Affiliation:
Department of Mathematics, Westfield College, University of London, Hampstead, London, NWS 3ST
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A permutation group is quasiregular if it acts regularly on each of its orbits (i.e. the stabiliser of an element fixes every other element in its orbit). So, in particular, any permutation representation of an abelian or hamiltonian group must be quasiregular.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 15 , Issue 2 , September 1974 , pp. 150 - 154
Copyright
Copyright © Glasgow Mathematical Journal Trust 1974

References

REFERENCES

1.Baumert, L., Cyclic difference sets, Lecture Notes in Mathematics 182 (Springer-Verlag, 1971).CrossRefGoogle Scholar
2.Dembowski, H. P., Finite geometries, Ergebnisse der Mathematik (Springer-Verlag, 1968).CrossRefGoogle Scholar
3.Dembowski, H. P. and Piper, F. C., Quasiregular collineation groups of finite projective planes, Math. Z. 99 (1967), 53–75.CrossRefGoogle Scholar
4.Ganley, M. J. and Spence, E., Relative difference sets and quasiregular collineation groups; to appear.Google Scholar
5.Hall, M. Jr, Combinatorial theory (Blaisdell, 1967).Google Scholar
6.Hughes, D. R. and Piper, F. C., Projective planes, Graduate Texts in Mathematics 6 (Springer-Verlag, 1973).Google Scholar