Factorizations of simple algebraic groups

Liebeck, Martin; Saxl, Jan; Seitz, Gary

doi:10.1090/S0002-9947-96-01447-X

Factorizations of simple algebraic groups
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by Martin W. Liebeck, Jan Saxl and Gary M. Seitz PDF

Trans. Amer. Math. Soc. 348 (1996), 799-822 Request permission

Abstract:

We determine all factorizations of simple algebraic groups as the product of two maximal closed connected subgroups. Additional results are established which drop the maximality assumption, and applications are given to the study of subgroups of classical groups transitive on subspaces of a given dimension.

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