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math.GR2023★ 1 cited
Locally isotropic elementary groups
Egor Voronetsky
We construct elementary subgroups of all reductive groups of the local isotropic rank over rings and prove their basic properties. In particular, our results may be applie…
math.GR2023
Groups with -commutator relations
Egor Voronetsky
Isotropic odd unitary groups generalize Chevalley groups of classical types over commutative rings and their twisted forms. Such groups have root subgroups parameterized by a root…
math.GR2023
Cosheaves of Steinberg pro-groups
Egor Voronetsky
Steinberg pro-groups are certain pro-groups used to analyze ordinary Steinberg groups locally in Zariski topology. In this paper we show that Steinberg pro-groups associated with g…