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arXiv · 2104.14768

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

A. V. Tushev
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Abstract

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 $\Delta (G)$ of $G$ is infinite.

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BibTeXRIS

A. V. Tushev. 2021-04-30. On the Primitive Irreducible Representations of Finitely Generated Linear Groups of Finite Rank. https://arxiv.org/abs/2104.14768

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