On subgroups of the Monster isomorphic to $PSL_2(8)$
Group Theory
2024-01-01 v1
Abstract
We describe computer calculations that were used in 2016 to classify subgroups of the Monster isomorphic to , containing -elements. It turns out that there is no such in the Monster. These calculations confirm earlier unpublished calculations by P. E. Holmes that obtained the same result. The result has also been confirmed in independent calculations by H. Dietrich, M. Lee and T. Popiel, using different software by M. Seysen. Thus this experimental result is shown to be reproducible.
Cite
@article{arxiv.2312.17252,
title = {On subgroups of the Monster isomorphic to $PSL_2(8)$},
author = {Robert A. Wilson},
journal= {arXiv preprint arXiv:2312.17252},
year = {2024}
}