Other data

Collections of miscellaneous objects

Datasets of mathematical objects are an important tool for future research. On this page, I list such datasets and give methods to access them.

Self-promotion


The table below contains miscellaneous objects I have constructed during my research. They may or may not end up being used in my research, but I hope somebody finds some use in them!


Name Description Access
Sylvester designs Contains all Sylvester designs with automorphism group of size at least 20, as GAP designs [DESIGN]. I used [BCSW20], [S23] and [ORBITER] to construct these designs. gap
Ree unital on \(^2G_2(27)\) The blocks of the Ree unital defined on \(^2G_2(27)\). Each line of the txt file contains space-separated integers that defined a block. zip(35MB)


External sources


In the table below I list some datasets that you might also find useful.


Name Description Access
Martson Conder’s homepage Maps on surfaces, quotients of triangle groups, symmetric graphs and polytopes. link
Extended group enumeration A table describing the enumeration of the groups of order at most 50,000 link
MathBases A list of mathematical databases. link
LMFDB A database of objects arising in the study of number theory and arithmetic geometry. link



References


2023

  1. LMS
    Using GAP Packages for Research in Graph Theory, Design Theory, and Finite Geometry
    2023

2020

  1. Substitutes for the Non-existent Square Lattice Designs for 36 Varieties
    Journal of Agricultural, Biological and Environmental Statistics, 2020

2019

  1. GAP
    The DESIGN package for GAP, Version 1.7
    2019
    Refereed GAP package
  2. Orbiter–a program to classify discrete objects
    2019