The Exact Factorizations of Almost Simple Groups

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.

Cited by in corpus (4)

• Factorizations of almost simple linear groups
• Factorizations of almost simple unitary groups
• Factorizations of almost simple orthogonal groups of minus type
• Factorizations of almost simple orthogonal groups in odd dimension