# On a conjecture of Degos

Nick Gill

Research output: Contribution to journalArticlepeer-review

## Abstract

In this note we use a result of Kantor to prove a conjecture of Degos. Specifically we prove the following: let $\mathbb{F}$ be a finite field of order $q$ and let $f, g\in\mathbb{F}[X]$ be distinct polynomials of degree $n$ such that $f$ is primitive, and the constant term of $g$ is non-zero. Then $=\mathrm{GL}_n(q)$.
Original language English To appear 6 Cahiers de Topologie et Geometrie Differentielle Categoriques To appear Accepted/In press - 11 Feb 2015

• math.GR
• 20H30

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