Geodesic
On finitely generated profinite groups, II: products in quasisimple groups
Nikolay Nikolov1 ; Dan Segal2
1 New College, Oxford University, Oxford OX1 3BN, United Kingdom
2 All Souls College, Oxford University, Oxford OX1 4AL, United Kingdom
Annals of mathematics, Tome 165 (2007) no. 1, pp. 239-273.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2007.165.239

Nikolay Nikolov 1 ; Dan Segal 2

1 New College, Oxford University, Oxford OX1 3BN, United Kingdom
2 All Souls College, Oxford University, Oxford OX1 4AL, United Kingdom 
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Nikolay Nikolov; Dan Segal. On finitely generated profinite groups, II: products in quasisimple groups. Annals of mathematics, Tome 165 (2007) no. 1, pp. 239-273. doi : 10.4007/annals.2007.165.239. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.165.239/

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