Products of conjugacy classes in finite unitary groups GU(3,q 2 ) and SU(3,q 2 )
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 22 (2013) no. 2, pp. 219-251.

Pour les groupes GU(3), SU(3), GL(3), SU(3) sur un corps fini on résout le problème du produit des classes, c-à-d, on donne une liste complète de tous les m-uplets de classes de conjugaison dont le produit ne contient pas la matrice identité.

For the groups GU(3), SU(3), GL(3), SU(3) over a finite field we solve the class product problem, i.e., we give a complete list of m-tuples of conjugacy classes whose product does not contain the identity matrix.

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     title = {Products of conjugacy classes in finite unitary groups $GU(3,q^2)$ and $SU(3,q^2)$},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {219--251},
     publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
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Orevkov, S.Yu. Products of conjugacy classes in finite unitary groups $GU(3,q^2)$ and $SU(3,q^2)$. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 22 (2013) no. 2, pp. 219-251. doi : 10.5802/afst.1371. http://archive.numdam.org/articles/10.5802/afst.1371/

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