Geodesic
Generation of the group $SL_6(\mathbb{Z}+i\mathbb{Z})$ by three involutions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 6, pp. 693-697

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the group $SL_6(\mathbb{Z}+i\mathbb{Z})$ is generated by three involutions. Previously, the solution of the problem on the existence of generating triples of involutions two of which commute was completed for the groups $SL_n(\mathbb{Z}+i\mathbb{Z})$ and $PSL_n(\mathbb{Z}+i\mathbb{Z})$ (Math. notes, 115 (2024), no. 3). The question of generating these groups by three involutions remained unresolved only for $SL_6(\mathbb{Z}+i\mathbb{Z})$.
Keywords: special linear group, the ring of Gaussian integers, generating triples of involutions. 
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     author = {Rodion I. Gvozdev},
     title = {Generation of the group $SL_6(\mathbb{Z}+i\mathbb{Z})$ by three involutions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2024},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_6_a0/}
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Rodion I. Gvozdev. Generation of the group $SL_6(\mathbb{Z}+i\mathbb{Z})$ by three involutions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 6, pp. 693-697. http://geodesic.mathdoc.fr/item/JSFU_2024_17_6_a0/