Geodesic
The representation image unipotency of the group $F_2$ by mapping primitive elements into unipotent matrices with small Jordan blocks
Problemy fiziki, matematiki i tehniki, no. 3 (2011), pp. 81-83

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It is proved that the representation image of the free group $F_2(x, y)$ in $GL(n, C))$ is an unipotent subgroup, when $(\rho (p) - E)^5 = 0$ for all primitive elements $p$ and $(\rho(\xi) - E)^2 = 0$, $(\rho(\gamma) - E)^3 = 0$ for some associated primitive elements $\xi$ and $\gamma$ of the group $F_2$ .
Keywords: unipotent subgroup, primitive element, representation of group. 
@article{PFMT_2011_3_a13,
     author = {O. I. Tavgen' and D. Junhua and L. Chunyan},
     title = {The representation image unipotency of the group $F_2$ by mapping primitive elements into unipotent matrices with small {Jordan} blocks},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {81--83},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2011_3_a13/}
}
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O. I. Tavgen'; D. Junhua; L. Chunyan. The representation image unipotency of the group $F_2$ by mapping primitive elements into unipotent matrices with small Jordan blocks. Problemy fiziki, matematiki i tehniki, no. 3 (2011), pp. 81-83. http://geodesic.mathdoc.fr/item/PFMT_2011_3_a13/