Products of conjugacy classes in finite unitary groups $GU(3,q^2)$ and $SU(3,q^2)$

S.Yu. Orevkov

doi:10.5802/afst.1371

Products of conjugacy classes in finite unitary groups

G U (3, q^{2})

and

S U (3, q^{2})

S.Yu. Orevkov ¹

¹ Institut des Mathématiques de Toulouse, UPS, 118 route de Narbonne, 31062 Toulouse, France

Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 22 (2013) no. 2, pp. 219-251.

Abstract
Abstract

For the groups $G U (3)$ , $S U (3)$ , $G L (3)$ , $S U (3)$ 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 $G U (3)$ , $S U (3)$ , $G L (3)$ , $S U (3)$ 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.

Zbl

DOI: 10.5802/afst.1371

Author's affiliations:

S.Yu. Orevkov ¹

¹ Institut des Mathématiques de Toulouse, UPS, 118 route de Narbonne, 31062 Toulouse, France

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     author = {S.Yu. Orevkov},
     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},
     address = {Toulouse},
     volume = {Ser. 6, 22},
     number = {2},
     year = {2013},
     doi = {10.5802/afst.1371},
     zbl = {1283.20059},
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     url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1371/}
}

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S.Yu. Orevkov. 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. https://afst.centre-mersenne.org/articles/10.5802/afst.1371/

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