… 2, let R be a commutative ring and let I,J be two ideals of R. We consider subgroups of the
Chevalley group … unrelativized elementary subgroup E(Φ, I) of level I is generated (as a group) …

… to 2, let R be a commutative ring and let I, J be two ideals of R… of the commutator groups of
relative elementary subgroups [E… as normal subgroups of the elementary Chevalley group E(Φ…

… 2, let R be a commutative ring and let I,J be two … commutator groups of relative elementary
subgroups [E(Φ, R, I),E(Φ, R, J)] both as normal subgroups of the elementary Chevalley group …

… generation of the relative elementary subgroups E(Φ, R, I) of Chevalley groups G(Φ,R), where
rk(Φ) ⩾ 2… the previous generation results on the elementary width of commutators would do…

… 2, let R be a commutative ring and let A, B be two ideals of R. We consider subgroups of the
Chevalley group … , economic generating sets for such mutual commutator subgroups [E(Φ, R, …

… subgroup E = E(Φ,R) in G relative to T. Our principal result is an a priori bound for the lengths
of commutators in E… In the present paper we primarily consider the following two generating …

… We define the two following congruence subgroups modulo (A, B)… OI Tavgen, Bounded
generation of Chevalley groups over … , Generation of relative commutator subgroups in Chevalley …

… have very few commutators, in fact, commutators have finite … elementary generation, methods
of proof, relative analogues … G(Φ,R) be a Chevalley group of rank l ≥ 2 and let R be a ring …

… The focus then shifted to the relative commutators with two … Since Chevalley groups of types
other than Al are only … the structure and generation of the relative commutator subgroups [E(R…

… , 13] the commutator width of elementary Chevalley groups over a … G(R) of relative rank ≥ 2
has bounded width with respect to … [10] OI Tavgen, Bounded generation of Chevalley groups …