Skip to content

Generating groups using hypergraphs

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)29-52
Number of pages24
JournalQuarterly Journal of Mathematics
Volume67
Issue number1
DOIs
DateAccepted/In press - 18 Dec 2015
DatePublished (current) - 1 Mar 2016

Abstract

To a set B of 4-subsets of a set Ω of size n, we introduce an invariant called the ‘hole stabilizer’ which generalizes a construction of Conway, Elkies and Martin of the Mathieu group M12 based on Lloyd's ‘15-puzzle’. It is shown that hole stabilizers may be regarded as objects inside an objective partial group (in the sense of Chermak). We classify pairs (Ω,B) with a trivial hole stabilizer, and determine all hole stabilizers associated to 2-(n,4,λ) designs with λ⩽2.

Download statistics

No data available

Documents

Documents

  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Oxford University Press at https://doi.org/10.1093/qmath/haw001 . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 284 KB, PDF document

    Licence: CC BY

DOI

View research connections

Related faculties, schools or groups