Copy the page URI to the clipboard
Gill, Nick; Gillespie, Neil; Praeger, Cheryl and Semeraro, Jason
(2017).
DOI: https://doi.org/10.1090/conm/694/13962
URL: http://doi.org/10.1090/conm/694/13962
Abstract
In 1987, John Horton Conway constructed a subset of permutations on a set of size
for which
the subset fixing any given point is isomorphic to the Mathieu group . The construction has fascinated mathematicians
for the past thirty years, and remains remarkable in its mathematical isolation. It is based on a
``moving-counter puzzle'' on the projective plane .
This survey, a homage to John Conway and his mathematics,
discusses consequences and generalisations
of Conway's construction. In particular it explores how various designs and hypergraphs can be used instead of
to obtain interesting analogues of
. In honour of John Conway, we refer to these analogues as
. A number of
open questions are presented.
Viewing alternatives
Metrics
Public Attention
Altmetrics from AltmetricNumber of Citations
Citations from DimensionsItem Actions
Export
About
- Item ORO ID
- 79557
- Item Type
- Book Section
- ISSN
- 0271-4132
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Depositing User
- Nick Gill