PreprintCC BY 4.0arXiv
The binary actions of sporadic groups
Abstract
An action of a group is binary if it induces the group of automorphisms of some homogeneous edge-coloured directed graph. In this paper we study the quasisimple groups G with G/Z(G) a sporadic simple group---we produce a complete classification of their binary actions.
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BibTeX
@misc{valle2026binary,
title = {{The binary actions of sporadic groups}},
author = {Coen del Valle and Nick Gill},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02508},
eprint = {2609.02508},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02508},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The binary actions of sporadic groups
AU - Coen del Valle
AU - Nick Gill
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02508
UR - https://arxiv.org/abs/2609.02508
AB - An action of a group is binary if it induces the group of automorphisms of some homogeneous edge-coloured directed graph. In this paper we study the quasisimple groups G with G/Z(G) a sporadic simple group---we produce a complete classification of their binary actions.
ER -