A. Lavrenov

activity

20112025

most citedOn centrality of even orthogonal

K_{2}

16 citations · 36 across the 14 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.GR2021★ 3 cited

On the $A^{1}$ -invariance of $K_{2}$ modeled on linear and even orthogonal groups

Andrei Lavrenov, Sergey Sinchuk, Egor Voronetsky

Let $k$ be an arbitrary field. In this paper we show that in the linear case ( $Φ = A_{ℓ}$ , $ℓ \geq 4$ ) and even orthogonal case ( $Φ = D_{ℓ}$ , $ℓ \geq 7$ , $\ma…

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.GR2019★ 5 cited

A Horrocks-type theorem for even orthogonal $K_{2}$

Andrei Lavrenov, Sergey Sinchuk

We prove the Horrocks theorem for unstable even-dimensional orthogonal Steinberg groups. The Horrocks theorem for Steinberg groups is one of the principal ingredients needed for th…

math.GR2017

Linearity problem for non-abelian tensor products

Valeriy G. Bardakov, Andrei V. Lavrenov, Mikhail V. Neshchadim

In this paper we give an example of a linear group such that its tensor square is not linear. Also, we formulate some sufficient conditions for the linearity of non-abelian tensor…

On the A1-invariance of K2​ modeled on linear and even orthogonal groups

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

A Horrocks-type theorem for even orthogonal K2​

Linearity problem for non-abelian tensor products

On the $A^{1}$ -invariance of $K_{2}$ modeled on linear and even orthogonal groups

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

A Horrocks-type theorem for even orthogonal $K_{2}$