Geodesic
Generation of Group $SL_7(Z+iZ)$ by Three Involutions, Two of Which Commute
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 35-38 
D. V. Levchuk. Generation of Group $SL_7(Z+iZ)$ by Three Involutions, Two of Which Commute. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 35-38. http://geodesic.mathdoc.fr/item/VNGU_2009_9_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the projective special linear group $SL_7(Z+iZ)$, over Gaussian intergers $Z+iZ$ is generated by three involutions, two of which commute.

[1] Levchuk D. V., Nuzhin Ya. N., “Generation of the Groups $PSL_n(Z+iZ)$ by Three Involutions, Two of Which Commute”, J. of Siberian Federal University, 1:2 (2008), 133–139

[2] Nuzhin Ya. N., “Porozhdayuschie troiki involyutsii grupp lieva tipa nad konechnym polem nechetnoi kharakteristiki, II”, Algebra i logika, 36:4 (1997), 422–440 | MR | Zbl

[3] Tamburini M. C., Zucca P., “Generation of Certain Matrix Groups by Three Involutions, Two of Which Commute”, J. of Algebra, 195 (1997), 650–661 | DOI | MR | Zbl

[4] Nuzhin Ya. N., “O porozhdaemosti gruppy $PSL_n(Z)$ tremya involyutsiyami, dve iz kotorykh perestanovochny”, Vladikavkazskii mat. zhurn., 2008, no. 1, 42–49

[5] Nereshennye voprosy teorii grupp: Kourovskaya tetrad, 15-e izd., Novosibirsk, 2002

[6] Steinberg R., Lektsii o gruppakh Shevalle, Mir, M., 1975 | MR | Zbl