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Indicator Sets, Reguli, and a New Class of Spreads

Published online by Cambridge University Press:  20 November 2018

F. A. Sherk  and
Günther Pabst
F. A. Sherk
Affiliation:
University of Toronto, Toronto, Ontario
Günther Pabst
Affiliation:
University of Toronto, Toronto, Ontario
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Abstract

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Let Σ be the projective 3-space over the field GF(q) where q = pe, p an odd prime. A spread W in ∑ is a set of q2 + 1 lines in ∑ which are such that each point of Σ lies on exactly one line of W. Thus the lines of W are all mutually skew. The notion of a spread extends to higher dimensions and also applies for arbitrary fields [1; 3; 6, p. 29; 7, p. 5]. Our concern, however, will be within the narrower but still extensive bounds indicated.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 1 , 01 February 1977 , pp. 132 - 154
Copyright
Copyright © Canadian Mathematical Society 1977

Footnotes

This paper was written while the first author was on sabbatical leave at Washington State University.

References

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