Flag-transitive symmetric 2-(96,20,4)-designs

Maska Law; Cheryl Praeger; Sven Reichard

doi:10.1016/j.jcta.2008.12.005

Flag-transitive symmetric 2-(96,20,4)-designs

Maska Law, Cheryl Praeger, Sven Reichard

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We construct four flag-transitive symmetric designs having 96 points, blocks of size 20, and 4 blocks on each point-pair. Moreover we prove that these are the only such designs. Our classification completes the classification of flag-transitive, point-imprimitive, symmetric designs with the (constant) number of blocks on a point-pair at most four.

Original language	English
Pages (from-to)	1009-1022
Journal	Journal of Combinatorial Theory Series A
Volume	116
Issue number	5
DOIs	https://doi.org/10.1016/j.jcta.2008.12.005
Publication status	Published - 2009

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10.1016/j.jcta.2008.12.005

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title = "Flag-transitive symmetric 2-(96,20,4)-designs",

abstract = "We construct four flag-transitive symmetric designs having 96 points, blocks of size 20, and 4 blocks on each point-pair. Moreover we prove that these are the only such designs. Our classification completes the classification of flag-transitive, point-imprimitive, symmetric designs with the (constant) number of blocks on a point-pair at most four.",

author = "Maska Law and Cheryl Praeger and Sven Reichard",

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doi = "10.1016/j.jcta.2008.12.005",

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AU - Law, Maska

AU - Praeger, Cheryl

AU - Reichard, Sven

PY - 2009

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N2 - We construct four flag-transitive symmetric designs having 96 points, blocks of size 20, and 4 blocks on each point-pair. Moreover we prove that these are the only such designs. Our classification completes the classification of flag-transitive, point-imprimitive, symmetric designs with the (constant) number of blocks on a point-pair at most four.

AB - We construct four flag-transitive symmetric designs having 96 points, blocks of size 20, and 4 blocks on each point-pair. Moreover we prove that these are the only such designs. Our classification completes the classification of flag-transitive, point-imprimitive, symmetric designs with the (constant) number of blocks on a point-pair at most four.

U2 - 10.1016/j.jcta.2008.12.005

DO - 10.1016/j.jcta.2008.12.005

M3 - Article

VL - 116

SP - 1009

EP - 1022

JO - Journal of Combinatorial Theory Series A

JF - Journal of Combinatorial Theory Series A

SN - 0021-9800

IS - 5

ER -

Flag-transitive symmetric 2-(96,20,4)-designs

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