Imprimitive flag-transitive symmetric designs

Cheryl Praeger; S. Zhou

doi:10.1016/j.jcta.2005.12.006

Imprimitive flag-transitive symmetric designs

Cheryl Praeger, S. Zhou

Research output: Contribution to journal › Article

26 Citations (Scopus)

Abstract

A recent paper of O'Reilly Regueiro obtained an explicit upper bound on the number of points of a flag-transitive, point-imprimitive, symmetric design in terms of the number of blocks containing two points. We improve that upper bound and give a complete list of feasible parameter sequences for such designs for which two points lie in at most ten blocks. Classifications are available for some of these parameter sequences. (c) 2005 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1381-1395
Journal	Journal of Combinatorial Theory Series A
Volume	113
Issue number	7
DOIs	https://doi.org/10.1016/j.jcta.2005.12.006
Publication status	Published - 2006

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title = "Imprimitive flag-transitive symmetric designs",

abstract = "A recent paper of O'Reilly Regueiro obtained an explicit upper bound on the number of points of a flag-transitive, point-imprimitive, symmetric design in terms of the number of blocks containing two points. We improve that upper bound and give a complete list of feasible parameter sequences for such designs for which two points lie in at most ten blocks. Classifications are available for some of these parameter sequences. (c) 2005 Elsevier Inc. All rights reserved.",

author = "Cheryl Praeger and S. Zhou",

year = "2006",

doi = "10.1016/j.jcta.2005.12.006",

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AU - Praeger, Cheryl

AU - Zhou, S.

PY - 2006

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AB - A recent paper of O'Reilly Regueiro obtained an explicit upper bound on the number of points of a flag-transitive, point-imprimitive, symmetric design in terms of the number of blocks containing two points. We improve that upper bound and give a complete list of feasible parameter sequences for such designs for which two points lie in at most ten blocks. Classifications are available for some of these parameter sequences. (c) 2005 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.jcta.2005.12.006

DO - 10.1016/j.jcta.2005.12.006

M3 - Article

VL - 113

SP - 1381

EP - 1395

JO - Journal of Combinatorial Theory Series A

JF - Journal of Combinatorial Theory Series A

SN - 0021-9800

IS - 7

ER -