E. Voronetsky

activity

20192026

K_{1}

6 citations · 29 across the 20 of their papers we have counts for

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math.KT2026

Solvability of isotropic $K_{1}$ -functor over semilocal rings

Egor Voronetsky

We show that the $K_{1}$ -functor modeled on simple reductive groups over semilocal rings is solvable if the isotropic rank is at least $2$ and that the Tits index is nei…

math.RT2026

Nilpotency of locally isotropic $K_{1}$ -functor

Egor Voronetsky

We show that the $K_{1}$ -functor modeled on locally isotropic reductive groups is hypoabelian if the base ring has finite Bass--Serre dimension and, for the Tits index $ \…

math.RT2026

Weyl elements in isotropic reductive groups

Egor Voronetsky

We study Weyl elements in isotropic reductive groups over commutative rings. Our main result in an explicit formula for squares of such elements. We also classify these elements in…

Solvability of isotropic K1​-functor over semilocal rings

Nilpotency of locally isotropic K1​-functor

Weyl elements in isotropic reductive groups

Solvability of isotropic $K_{1}$ -functor over semilocal rings

Nilpotency of locally isotropic $K_{1}$ -functor