Hostname: page-component-84b7d79bbc-2l2gl Total loading time: 0 Render date: 2024-07-30T22:36:14.786Z Has data issue: false hasContentIssue false

On projective planes of type (6, m)

Published online by Cambridge University Press:  24 October 2008

Peter Lorimer
Affiliation:
University of Auckland, New Zealand

Abstract

If a finite projective plane is of type (6, m), then m = 2 or 3.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1980

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Hughes, D. R.Partial difference sets. Amer. J. Math., 78 (1956), 650674.CrossRefGoogle Scholar
(2)Johnson, N. L. and Ostrom, T. G.On tangentially transitive planes of order 16. J. Geometry 10 (1977), 146163.CrossRefGoogle Scholar
(3)Lorimer, P.A projective plane of order 16. J. Combinatorial Theory A 16 (1974), 334347.CrossRefGoogle Scholar
(4)Lorimer, P.An introduction to projective planes: some of the properties of a particular plane of order 16. Math. Chronicle (to appear).Google Scholar
(5)O'Nan, M.Normal structure of the one-point stabilizer of a doubly-transitive permutation group I. Trans. Amer. Math. Soc. 214 (1975), 142.CrossRefGoogle Scholar
(6)Rahilly, A.Generalized Hall planes of even order. Pacific J. Math. 55 (1974), 543551.CrossRefGoogle Scholar