Hostname: page-component-848d4c4894-tn8tq Total loading time: 0 Render date: 2024-07-07T14:07:08.569Z Has data issue: false hasContentIssue false
  • English
  • Français

Difference sets and planar polarities

Published online by Cambridge University Press:  18 May 2009

Michael J. Ganley
Michael J. Ganley
Affiliation:
University of Glasgow, Glasgow Gl2 8Qw
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 block design is a finite set p of elements called points, where |p| = v, together with certain distinguished subsets of p called blocks, such that

(i) each block contains k points,

(ii) each point is contained in r blocks, and

(iii) two distinct points are contained in precisely λ blocks.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 15 , Issue 2 , September 1974 , pp. 99 - 108
Copyright
Copyright © Glasgow Mathematical Journal Trust 1974

References

REFERENCES

1.Baumert, L. D., Cyclic difference sets, Lecture Notes in Mathematics (Springer, Berlin-Heidelberg, 1971).CrossRefGoogle Scholar
2.Dembowski, P., Finite geometries (Springer, Berlin-Heidelberg, 1968).CrossRefGoogle Scholar
3.Ganley, M. J., Polarities of designs, Bull. London Math. Soc. 4 (1972), 20–22.CrossRefGoogle Scholar
4.Ganley, M. J., A class of unitary block designs, Math. Zeit. 128 (1972), 34–42.CrossRefGoogle Scholar
5.Hall, M., Combinatorial theory (Waltham, Mass., 1967).Google Scholar
6.McFarland, R. L., A family of difference sets in non-cyclic groups, J. Combinatorial Theory 15 (1973), 1–10.CrossRefGoogle Scholar
7.Mann, H. B., Addition theorems (New York, 1965).Google Scholar
8.Seib, M., Unitäre Polaritäten endlicher projektiver Ebenen, Arch. Math. 21 (1970), 103–112.CrossRefGoogle Scholar