E. Voronetsky

activity

20192026

K_{1}

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

collaborators

Showing 2020 · math.GRShow all

4 papers · 2 filters

math.GR2020

Another presentation of orthogonal Steinberg groups

Egor Voronetsky

We use the pro-group approach to show that $StO (M, q)$ admits van der Kallen's "another presentation", where $M$ is a module over a commutative ring with sufficiently isot…

math.GR2020★ 4 cited

Centrality of $K_{2}$ for Chevalley groups: a pro-group approach

Andrei Lavrenov, Sergey Sinchuk, Egor Voronetsky

We prove the centrality of $K_{2} (F_{4}, R)$ for an arbitrary commutative ring $R$ . This completes the proof of the centrality of $K_{2} (Φ, R)$ for any roo…

math.GR2020★ 2 cited

Centrality of odd unitary $K_{2}$ -functor

Egor Voronetsky

Let $(R, Δ)$ be an odd form algebra. We show that the unitary Steinberg group $StU (R, Δ)$ is a crossed module over the odd unitary group $U (R, Δ)$ in two major cas…

math.GR2020★ 3 cited

Twisted forms of classical groups

Egor Voronetsky

We give a unified description of twisted forms of classical reductive groups schemes. Such group schemes are constructed from algebraic objects of finite rank, excluding some excep…

Another presentation of orthogonal Steinberg groups

Centrality of K2​ for Chevalley groups: a pro-group approach

Centrality of odd unitary K2​-functor

Twisted forms of classical groups

Centrality of $K_{2}$ for Chevalley groups: a pro-group approach

Centrality of odd unitary $K_{2}$ -functor