On a conjecture of Degos

Nick Gill

On a conjecture of Degos

Nick Gill

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

94 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 wreiddiol	Saesneg
Tudalennau (o-i)	To appear
Nifer y tudalennau	6
Cyfnodolyn	Cahiers de Topologie et Geometrie Differentielle Categoriques
Cyfrol	To appear
Statws	Wedi’i dderbyn/Yn y wasg - 11 Chwef 2015

Mynediad at Ddogfen

pdfProflen, 117 KBTrwydded: Amhenodol

Dyfynnu hyn

@article{4ec51341e12840f08e3c042ecfbeeccc,

title = "On a conjecture of Degos",

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)$.",

keywords = "math.GR, 20H30",

author = "Nick Gill",

note = "6 pages. This version includes a sketch-proof of a result of Kantor. The article will appear in Cah. Topol. G\'eom. Diff\'er. Cat\'eg",

year = "2015",

month = feb,

day = "11",

language = "English",

volume = "To appear",

pages = "To appear",

journal = "Cahiers de Topologie et Geometrie Differentielle Categoriques",

publisher = "Faculte de Math. et Info. Amiens",

}

TY - JOUR

T1 - On a conjecture of Degos

AU - Gill, Nick

N1 - 6 pages. This version includes a sketch-proof of a result of Kantor. The article will appear in Cah. Topol. G\'eom. Diff\'er. Cat\'eg

PY - 2015/2/11

Y1 - 2015/2/11

N2 - 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)$.

AB - 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)$.

KW - math.GR

KW - 20H30

M3 - Article

VL - To appear

SP - To appear

JO - Cahiers de Topologie et Geometrie Differentielle Categoriques

JF - Cahiers de Topologie et Geometrie Differentielle Categoriques

ER -

On a conjecture of Degos

Crynodeb

Mynediad at Ddogfen

Ôl bys

Dyfynnu hyn