Claude Marion

activity

20132018

most citedDeformation theory and finite simple quotients of triangle groups I

4 citations · 4 across the 3 of their papers we have counts for

collaborators

6 papers

math.GR2018

Generating maximal subgroups of finite almost simple groups

Andrea Lucchini, Claude Marion, Gareth Tracey

For a finite group $G$ , let $d (G)$ denote the minimal number of elements required to generate $G$ . In this paper, given a finite almost simple group $G$ and any maximal subgroup $H…

math.GR2017

On finite simple images of triangle groups

Sebastian Jambor, Alastair Litterick, Claude Marion

For a simple algebraic group G in characteristic p, a triple (a,b,c) of positive integers is said to be rigid for G if the dimensions of the subvarieties of G of elements of order…

math.GR2017

Varieties of elements of given order in simple algebraic groups

Claude Marion

Given a positive integer $u$ and a simple algebraic group $G$ defined over an algebraically closed field $K$ of characteristic $p$ , we derive properties about the subvariety $G_{[u…

math.GR2017

Alternating and symmetric groups with Eulerian generating graph

Andrea Lucchini, Claude Marion

Given a finite group $G$ , the generating graph $Γ (G)$ of $G$ has as vertices the (nontrivial) elements of $G$ and two vertices are adjacent if and only if they are distinct and gen…

math.GR2013

Deformation theory and finite simple quotients of triangle groups II

Michael Larsen, Alexander Lubotzky, Claude Marion

This paper is a continuation of our first paper [10] in which we showed how deformation theory of representation varieties can be used to study finite simple quotients of triangle…

math.GR2013★ 4 cited

Deformation theory and finite simple quotients of triangle groups I

Michael Larsen, Alexander Lubotzky, Claude Marion

Let $2 \leq a \leq b \leq c \in N$ with $μ = 1/ a + 1/ b + 1/ c < 1$ and let $T = T_{a, b, c} =< x, y, z : x^{a} = y^{b} = z^{c} = x y z = 1 >$ be the corresponding hyperbolic triangle group. Many papers hav…