On finitely generated profinite groups II, products in quasisimple groups

We prove two results. (1) There is an absolute constant $D$ such that for any finite quasisimple group $S$, given 2D arbitrary automorphisms of $S$, every element of $S$ is equal to a product of $D$ `twisted commutators' defined by the given automorphisms. (2) Given a natural number $q$, ther...

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Detalles Bibliográficos
Main Authors: Nikolov, N, Segal, D
Formato: Journal article
Idioma:English
Publicado: 2006