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, Serie 6, Volume 22 (2013) no. 2, p. 219-251

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.

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.

@article{AFST_2013_6_22_2_219_0,
     author = {Orevkov, S.Yu.},
     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},
     publisher = {Universit\'e Paul Sabatier, Toulouse},
     volume = {Ser. 6, 22},
     number = {2},
     year = {2013},
     pages = {219-251},
     doi = {10.5802/afst.1371},
     zbl = {1283.20059},
     language = {en},
     url = {http://www.numdam.org/item/AFST_2013_6_22_2_219_0}
}
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, Serie 6, Volume 22 (2013) no. 2, pp. 219-251. doi : 10.5802/afst.1371. http://www.numdam.org/item/AFST_2013_6_22_2_219_0/

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