Results 21 to 30 of about 292 (47)
Scott's formula and Hurwitz groups
This paper continues previous work, based on systematic use of a formula of L. Scott, to detect Hurwitz groups. It closes the problem of determining the finite simple groups contained in $PGL_n(F)$ for $n\leq 7$ which are Hurwitz, where $F$ is an ...
Bellani, M. C. Tamburini +1 more
core +1 more source
Integral monodromy groups of Kloosterman sheaves
We show that integral monodromy groups of Kloosterman $\ell$-adic sheaves of rank $n\ge 2$ on $\mathbb{G}_m/\mathbb{F}_q$ are as large as possible when the characteristic $\ell$ is large enough, depending only on the rank.
Perret-Gentil, Corentin
core +1 more source
The Divisibility Graph of finite groups of Lie Type
The Divisibility Graph of a finite group $G$ has vertex set the set of conjugacy class lengths of non-central elements in $G$ and two vertices are connected by an edge if one divides the other.
Abdolghafourian, Adeleh +2 more
core +1 more source
On the K-theoretic fundamental classes of Deligne-Lusztig varieties
In this paper we express the class of the structure sheaves of the closures of Deligne--Lusztig varieties as explicit double Grothendieck polynomials in the first Chern classes of appropriate line bundles on the ambient flag variety.
Hudson, Thomas, Peters, Dennis
core
On conjugacy growth of linear groups
We investigate the conjugacy growth of finitely generated linear groups. We show that finitely generated non-virtually-solvable subgroups of GL_d have uniform exponential conjugacy growth and in fact that the number of distinct polynomials arising as ...
ALEXANDER LUBOTZKY +10 more
core +1 more source
The (2,3)-generation of the classical simple groups of dimension 6 and 7
In this paper we prove that the finite simple groups $PSp_6(q)$, $\Omega_7(q)$ and $PSU_7(q^2)$ are (2,3)-generated for all q. In particular, this result completes the classification of the (2,3)-generated finite classical simple groups up to dimension ...
Pellegrini, Marco Antonio
core
The Ring of Support-Classes of $\mathrm{SL}\_2(\mathbb F\_q)$
We introduce and study a subring $\mathcal{SC}$ of $\mathbb Z[\mathrm{SL}\_2(\mathbb F\_q)]$ obtained by summing elements of $\mathrm{SL}\_2(\mathbb F\_q)$ according to their support.
Bacher, Roland
core
Lifting representations of finite reductive groups II: Explicit conorms
Let $k$ be a field, $\tilde{G}$ a connected reductive $k$-quasisplit group, $\Gamma$ a finite group that acts on $\tilde{G}$ via $k$-automorphisms satisfying a quasi-semisimplicity condition, and $G$ the connected part of the group of $\Gamma$-fixed ...
Adler, Jeffrey D., Lansky, Joshua M.
core
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
Bandman Tatiana +2 more
doaj +1 more source
Combinatorial Optimization: Theory and Computation The Aussois Workshop 2004 [PDF]
Liebling, Thomas M. +2 more
core

