## 20 Citations

Jordan Constant of $\mathrm{PGL}_3(K)$

- Mathematics
- 2022

We determine the Jordan constants of groups GL 2 ( K ), SL 2 ( K ), PGL 2 ( K ) and PGL 3 ( K ) for any given ﬁeld K of characteristic 0.

Cubic rational expressions over a finite field

- Mathematics
- 2021

We classify the cubic rational expressions g(x)/h(x) over a finite field, having at most three ramification points, under an equivalence relation given by preand post-composition with independent…

Galois covers of $\mathbb{P}^1$ and number fields with large class groups

- Mathematics
- 2020

For each finite subgroup G of PGL2(Q), and for each integer n coprime to 6, we construct explicitly infinitely many Galois extensions of Q with group G and whose ideal class group has n-rank at least…

COMPUTING AUTOMORPHISM GROUPS OF RATIONAL FUNCTIONS

- Mathematics
- 2012

Letbe an endomorphism of the projective line of degree at least 2, defined over a noetherian commutative ring R with unity. We show that the automorphism group ofis a finite group scheme, and we…

Subgroups of elliptic elements of the Cremona group

- Mathematics
- 2018

Abstract The Cremona group is the group of birational transformations of the complex projective plane. In this paper we classify its subgroups that consist only of elliptic elements using elementary…

Algebraic twists of modular forms and Hecke orbits

- Mathematics
- 2012

We consider the question of the correlation of Fourier coefficients of modular forms with functions of algebraic origin. We establish the absence of correlation in considerable generality (with a…

Extension of automorphisms of rational smooth affine curves

- Mathematics
- 2013

We provide the existence, for every complex rational smooth affine curve $\Gamma$, of a linear action of $\mathrm{Aut}(\Gamma)$ on the affine 3-dimensional space $\mathbb{A}^3$, together with a…

Generating Sequences of the Two Dimensional Special Projective Linear Group over Fields of Prime Order , PSL ( 2 , p )

- Mathematics
- 2012

As an infinite family of simple groups, the two dimensional special projective linear groups PSL(2,p) are interesting algebraic objects. While the groups are well known in the sense that their…

Borel subgroups of the plane Cremona group

- Mathematics
- 2021

It is well known that all Borel subgroups of a linear algebraic group are conjugate. This result also holds for the automorphism group Aut(A) of the affine plane [BeEsEs2017] (see also [FurPol2018]).…

Sato–Tate distributions and Galois endomorphism modules in genus 2

- MathematicsCompositio Mathematica
- 2012

Abstract For an abelian surface A over a number field k, we study the limiting distribution of the normalized Euler factors of the L-function of A. This distribution is expected to correspond to…

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- Mathematics
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1. (i) Suppose K is a conjugacy class of Sn contained in An; then K is called split if K is a union of two conjugacy classes of An. Show that the number of split conjugacy classes contained in An is…

Serre: Corps locaux

- Hermann, Paris,
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Université de Nice, Parc Valrose, F-06108 Nice cedex 2, France E-mail address: arnaud.beauville@unice

- Université de Nice, Parc Valrose, F-06108 Nice cedex 2, France E-mail address: arnaud.beauville@unice

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- 1997