Geodesic
Factorization of carpet subgroups of the Chevalley groups over commutative rings
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 527-535

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A concept of derivative carpet is introduced and it is proved that a carpet subgroup of the Chevalley group over commutative ring is a product of the derivative carpet subgroup and carpet subgroups of rank 1.
Keywords: Chevalley groups, commutative ring, carpet of additive subgroups, factorization. 
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     author = {Yakov N. Nuzhin},
     title = {Factorization of carpet subgroups of the {Chevalley} groups over commutative rings},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {527--535},
     publisher = {mathdoc},
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     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a10/}
}
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Yakov N. Nuzhin. Factorization of carpet subgroups of the Chevalley groups over commutative rings. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 527-535. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a10/