M24 -Orbits of Octad Triples

Veronica Kelsey; Peter Rowley

doi:10.1007/s00373-018-1961-1

M₂₄ -Orbits of Octad Triples

Veronica Kelsey, Peter Rowley

Pure Mathematics

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

Abstract

An octad triple is a set of three octads, octads being the blocks of the S(5, 8, 24) Steiner system. In this paper we determine the orbits of M₂₄, the largest Mathieu group, upon the set of octad triples.

Original language	English
Journal	Graphs and Combinatorics
Early online date	24 Oct 2018
DOIs	https://doi.org/10.1007/s00373-018-1961-1
Publication status	Published - 1 Nov 2018

Keywords

Mathieu group
Octads
Orbits

Access to Document

10.1007/s00373-018-1961-1Licence: CC BY

Cite this

@article{eb98e35f83a741e7aa69521329f2e7a8,

title = "M24 -Orbits of Octad Triples",

abstract = "An octad triple is a set of three octads, octads being the blocks of the S(5, 8, 24) Steiner system. In this paper we determine the orbits of M24, the largest Mathieu group, upon the set of octad triples.",

keywords = "Mathieu group, Octads, Orbits",

author = "Veronica Kelsey and Peter Rowley",

year = "2018",

month = nov,

day = "1",

doi = "10.1007/s00373-018-1961-1",

language = "English",

journal = "Graphs and Combinatorics",

issn = "0911-0119",

publisher = "Springer Japan",

}

TY - JOUR

T1 - M24 -Orbits of Octad Triples

AU - Kelsey, Veronica

AU - Rowley, Peter

PY - 2018/11/1

Y1 - 2018/11/1

N2 - An octad triple is a set of three octads, octads being the blocks of the S(5, 8, 24) Steiner system. In this paper we determine the orbits of M24, the largest Mathieu group, upon the set of octad triples.

AB - An octad triple is a set of three octads, octads being the blocks of the S(5, 8, 24) Steiner system. In this paper we determine the orbits of M24, the largest Mathieu group, upon the set of octad triples.

KW - Mathieu group

KW - Octads

KW - Orbits

UR - http://www.scopus.com/inward/record.url?scp=85055681967&partnerID=8YFLogxK

U2 - 10.1007/s00373-018-1961-1

DO - 10.1007/s00373-018-1961-1

M3 - Article

AN - SCOPUS:85055681967

SN - 0911-0119

JO - Graphs and Combinatorics

JF - Graphs and Combinatorics

ER -

M₂₄ -Orbits of Octad Triples

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this