The Exact Factorizations of Almost Simple Groups
Group Theory
2024-12-30 v6
Abstract
This paper presents a classification of exact factorizations of almost simple groups, which has been a long-standing open problem initiated around 1980 by the work of Wiegold-Williamson, and significantly progressed by Liebeck, Praeger and Saxl in 2010. The classification is then used to solve problems in bicrossproduct Hopf algebras and permutation groups.
Cite
@article{arxiv.2012.09551,
title = {The Exact Factorizations of Almost Simple Groups},
author = {Cai Heng Li and Lei Wang and Binzhou Xia},
journal= {arXiv preprint arXiv:2012.09551},
year = {2024}
}