5 citations · 12 across the 4 of their papers we have counts for
6 papers
On the -invariance of modeled on linear and even orthogonal groups
Andrei Lavrenov, Sergey Sinchuk, Egor Voronetsky
Let be an arbitrary field. In this paper we show that in the linear case (, ) and even orthogonal case (, , $\ma…
Centrality of for Chevalley groups: a pro-group approach
Andrei Lavrenov, Sergey Sinchuk, Egor Voronetsky
We prove the centrality of for an arbitrary commutative ring . This completes the proof of the centrality of for any roo…
A Horrocks-type theorem for even orthogonal
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…
Parametrized symmetric groups and the second homology of a group
Sergey Sinchuk
We introduce the notion of a symmetric group parametrized by elements of a group. We show that this group is an extension of a certain subgroup of the wreath product by…
On centrality of even orthogonal
Andrei Lavrenov, Sergey Sinchuk
We give a short uniform proof of centrality of for all simply-laced root systems of rank .
Decompositions of congruence subgroups of Chevalley groups
Sergey Sinchuk, Andrei Smolensky
We formulate and prove relative versions of several classical decompositions known in the theory of Chevalley groups over commutative rings. As an application we obtain upper estim…