The exact factorizations of almost simple groups

Abstract

AbstractThis 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.