On a conjecture of Degos

Nick Gill

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

75 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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)$.
Iaith wreiddiolSaesneg
Tudalennau (o-i)To appear
Nifer y tudalennau6
CyfnodolynCahiers de Topologie et Geometrie Differentielle Categoriques
CyfrolTo appear
StatwsWedi’i dderbyn/Yn y wasg - 11 Chwef 2015

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