New 5-designs with automorphism group PSL (2, 23)

Masaaki Kitazume; Akihiro Munemasa

doi:10.1002/(SICI)1520-6610(1999)7:2<147::AID-JCD6>3.0.CO;2-W

New 5-designs with automorphism group PSL (2, 23)

Masaaki Kitazume, Akihiro Munemasa

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

1 Citation (Scopus)

Abstract

Blocks of the unique Steiner system S(5, 8, 24) are called octads. The group PSL(2, 23) acts as an automorphism group of this Steiner system, permuting octads transitively. Inspired by the discovery of a 5-(24, 10, 36) design by Gulliver and Harada, we enumerate all 4-and 5-designs whose set of blocks are union of PSL(2, 23)-orbits on 10-subsets containing an octad.

Original language	English
Pages (from-to)	147-155
Number of pages	9
Journal	Journal of Combinatorial Designs
Volume	7
Issue number	2
DOIs	https://doi.org/10.1002/(SICI)1520-6610(1999)7:2<147::AID-JCD6>3.0.CO;2-W
Publication status	Published - 1999
Externally published	Yes

Keywords

Automorphism group
Design
Mathieu group

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Access to Document

10.1002/(SICI)1520-6610(1999)7:2<147::AID-JCD6>3.0.CO;2-W

Cite this

@article{7fa121f8918e4c7a9c9ebea3684defbd,

title = "New 5-designs with automorphism group PSL (2, 23)",

abstract = "Blocks of the unique Steiner system S(5, 8, 24) are called octads. The group PSL(2, 23) acts as an automorphism group of this Steiner system, permuting octads transitively. Inspired by the discovery of a 5-(24, 10, 36) design by Gulliver and Harada, we enumerate all 4-and 5-designs whose set of blocks are union of PSL(2, 23)-orbits on 10-subsets containing an octad.",

keywords = "Automorphism group, Design, Mathieu group",

author = "Masaaki Kitazume and Akihiro Munemasa",

year = "1999",

doi = "10.1002/(SICI)1520-6610(1999)7:2<147::AID-JCD6>3.0.CO;2-W",

language = "English",

volume = "7",

pages = "147--155",

journal = "Journal of Combinatorial Designs",

issn = "1063-8539",

publisher = "John Wiley and Sons Inc.",

number = "2",

}

TY - JOUR

T1 - New 5-designs with automorphism group PSL (2, 23)

AU - Kitazume, Masaaki

AU - Munemasa, Akihiro

PY - 1999

Y1 - 1999

N2 - Blocks of the unique Steiner system S(5, 8, 24) are called octads. The group PSL(2, 23) acts as an automorphism group of this Steiner system, permuting octads transitively. Inspired by the discovery of a 5-(24, 10, 36) design by Gulliver and Harada, we enumerate all 4-and 5-designs whose set of blocks are union of PSL(2, 23)-orbits on 10-subsets containing an octad.

AB - Blocks of the unique Steiner system S(5, 8, 24) are called octads. The group PSL(2, 23) acts as an automorphism group of this Steiner system, permuting octads transitively. Inspired by the discovery of a 5-(24, 10, 36) design by Gulliver and Harada, we enumerate all 4-and 5-designs whose set of blocks are union of PSL(2, 23)-orbits on 10-subsets containing an octad.

KW - Automorphism group

KW - Design

KW - Mathieu group

UR - http://www.scopus.com/inward/record.url?scp=27844602911&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27844602911&partnerID=8YFLogxK

U2 - 10.1002/(SICI)1520-6610(1999)7:2<147::AID-JCD6>3.0.CO;2-W

DO - 10.1002/(SICI)1520-6610(1999)7:2<147::AID-JCD6>3.0.CO;2-W

M3 - Article

AN - SCOPUS:27844602911

SN - 1063-8539

VL - 7

SP - 147

EP - 155

JO - Journal of Combinatorial Designs

JF - Journal of Combinatorial Designs

IS - 2

ER -

New 5-designs with automorphism group PSL (2, 23)

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this