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Products of conjugacy classes in finite unitary groups $G U (3, q^{2})$ and $S U (3, q^{2})$

S.Yu. Orevkov — 2013

Annales de la faculté des sciences de Toulouse Mathématiques

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.

Complex orientation formulas for $M$ -curves of degree $4 d + 1$ with 4 nests

S.Yu. Orevkov — 2010

Annales de la faculté des sciences de Toulouse Mathématiques

On démontre la formule d’orientations complexes pour les $M$ -courbes dans ${ℝ P}^{2}$ de degré $4 d + 1$ ayant $4$ nids. Cette formule généralise celle pour les $M$ -courbes à nid profond. C’est un pas vers la classification des $M$ -courbes de degré $9$ .

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Products of conjugacy classes in finite unitary groups G U ( 3 , q 2 ) and S U ( 3 , q 2 )

Complex orientation formulas for M -curves of degree 4 d + 1 with 4 nests

Products of conjugacy classes in finite unitary groups $G U (3, q^{2})$ and $S U (3, q^{2})$

Complex orientation formulas for $M$ -curves of degree $4 d + 1$ with 4 nests