The Exact Factorizations of Almost Simple Groups

Published 17 Dec 2020 in math.GR | (2012.09551v6)

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.

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