E. Voronetsky

activity

20192026

K_{1}

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

collaborators

Showing 2022 · math.GRShow all

3 papers · 2 filters

math.GR2022

A presentation of relative unitary Steinberg groups

Egor Voronetsky

We find an explicit presentation of relative odd unitary Steinberg groups constructed by odd form rings and of relative doubly laced Steinberg groups over commutative rings, i.e. t…

math.GR2022

Actions of pro-groups and pro-rings

Egor Voronetsky

We give an explicit description of internal actions in the semi-abelian categories of pro-groups and non-unital pro-rings in terms of actions of group objects and ring objects in $…

math.GR2022★ 1 cited

Groups with $A_{ℓ}$ -commutator relations

Egor Voronetsky

If $A$ is a unital associative ring and $ℓ \geq 2$ , then the general linear group $GL (ℓ, A)$ has root subgroups $U_{α}$ and Weyl elements $n_{α}$ for $α$ from the root s…

A presentation of relative unitary Steinberg groups

Actions of pro-groups and pro-rings

Groups with Aℓ​-commutator relations

Groups with $A_{ℓ}$ -commutator relations