arXiv subjects

A. V. Tushev

Publications and source records attributed to A. V. Tushev.

2 recordsLinked to original sources

arXiv2021

On the Primitive Irreducible Representations of Finitely Generated Linear Groups of Finite Rank

In the paper we study finitely generated linear groups of finite rank which have faithful irreducible primitive representations over a field of characteristic zero. We prove that if an infinite finitely generated linear group $G$ of finite rank has a faithful irreducible primitive representation over a field of characteristic zero then the $FC$-center $Δ(G)$ of $G$ is infinite.

math.RT↗

arXiv2012

On the irreducible representations of soluble groups of finite rank

We obtained some sufficient and necessary conditions of existence of faithful irreducible representations of a soluble group $G$ of finite rank over a field $k$. It was shown that the existence of such representations strongly depends on construction of the socle of the group $G$. The situation is especially complicated in the case where the field $k$ is locally finite.

math.GR↗