This article is cited in 9 papers

Factorization of carpet subgroups of the Chevalley groups over commutative rings

Yakov N. Nuzhin

Institute of Basic Training, Siberian Federal University, Krasnoyarsk, Russia

Abstract: 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.

UDC: 512.544.2

Received: 18.05.2011
Received in revised form: 25.06.2011
Accepted: 10.07.2011