Fissioned Triangular Schemes Via the Cross-Ratio

E.R. van Dam, D. de Caen

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Abstract

A construction of association schemes is presented; these are fission schemes of the triangular schemes T(n) where n=q + 1with q any prime power. The key observation is quite elementary, being that the natural action of PGL(2,q) on the 2-element subsets of the projective line PG(1,q) is generously transitive. Also some observations on the intersection parameters and fusion schemes of these association schemes are made.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages8
Volume782
Publication statusPublished - 1999

Publication series

NameFEW Research Memorandum
Volume782

Fingerprint

Cross ratio
Triangular
Association Scheme
Fusion
Intersection
Subset
Line
Observation

Cite this

van Dam, E. R., & de Caen, D. (1999). Fissioned Triangular Schemes Via the Cross-Ratio. (FEW Research Memorandum; Vol. 782). Tilburg: Operations research.
van Dam, E.R. ; de Caen, D. / Fissioned Triangular Schemes Via the Cross-Ratio. Tilburg : Operations research, 1999. 8 p. (FEW Research Memorandum).
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van Dam, ER & de Caen, D 1999, Fissioned Triangular Schemes Via the Cross-Ratio. FEW Research Memorandum, vol. 782, vol. 782, Operations research, Tilburg.

Fissioned Triangular Schemes Via the Cross-Ratio. / van Dam, E.R.; de Caen, D.

Tilburg : Operations research, 1999. 8 p. (FEW Research Memorandum; Vol. 782).

Research output: Book/ReportReportProfessional

TY - BOOK

T1 - Fissioned Triangular Schemes Via the Cross-Ratio

AU - van Dam, E.R.

AU - de Caen, D.

N1 - Pagination: 8

PY - 1999

Y1 - 1999

N2 - A construction of association schemes is presented; these are fission schemes of the triangular schemes T(n) where n=q + 1with q any prime power. The key observation is quite elementary, being that the natural action of PGL(2,q) on the 2-element subsets of the projective line PG(1,q) is generously transitive. Also some observations on the intersection parameters and fusion schemes of these association schemes are made.

AB - A construction of association schemes is presented; these are fission schemes of the triangular schemes T(n) where n=q + 1with q any prime power. The key observation is quite elementary, being that the natural action of PGL(2,q) on the 2-element subsets of the projective line PG(1,q) is generously transitive. Also some observations on the intersection parameters and fusion schemes of these association schemes are made.

M3 - Report

VL - 782

T3 - FEW Research Memorandum

BT - Fissioned Triangular Schemes Via the Cross-Ratio

PB - Operations research

CY - Tilburg

ER -

van Dam ER, de Caen D. Fissioned Triangular Schemes Via the Cross-Ratio. Tilburg: Operations research, 1999. 8 p. (FEW Research Memorandum).