Results 31 to 40 of about 10,901 (271)

The Divisibility Graph of finite groups of Lie type [PDF]

Journal of Pure and Applied Algebra, 2017
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. We determine the connected components of the Divisibility Graph of the finite groups of Lie type in odd characteristic.
Abdolghafourian, Adeleh, Iranmanesh, Mohammad A., Niemeyer, Alice C.   +2 more
openaire   +2 more sources

Some Results on Equivalence Groups

Journal of Applied Mathematics, 2012
The comparison of two common types of equivalence groups of differential equations is discussed, and it is shown that one type can be identified with a subgroup of the other type, and a case where the two groups are isomorphic is exhibited.
J. C. Ndogmo
doaj   +1 more source

$A_{1}$-TYPE SUBGROUPS CONTAINING REGULAR UNIPOTENT ELEMENTS

Forum of Mathematics, Sigma, 2019
Let $G$ be a simple exceptional algebraic group of adjoint type over an algebraically closed field of characteristic $p>0$ and let $X=\text{PSL}_{2}(p)$ be a subgroup of $G$ containing a regular unipotent element $x$ of $G$. By a theorem of Testerman, $x$
TIMOTHY C. BURNESS, DONNA M. TESTERMAN
doaj   +1 more source

GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES

Forum of Mathematics, Sigma, 2017
Let $G$ be a finite almost simple group. It is well known that $G$
TIMOTHY C. BURNESS, MARTIN W. LIEBECK, ANER SHALEV   +2 more
doaj   +1 more source

THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH $W(k)[\text{GL}_{n}(F)]$ -MODULES

Forum of Mathematics, Sigma, 2016
We consider the category of smooth $W(k)[\text{GL}_{n}(F)]$ -modules, where $F$
DAVID HELM
doaj   +1 more source

A fast generalized DFT for finite groups of Lie type [PDF]

ACM-SIAM Symposium on Discrete Algorithms, 2017
We give an arithmetic algorithm using $O(|G|^{\omega/2 + o(1)})$ operations to compute the generalized Discrete Fourier Transform (DFT) over group $G$ for finite groups of Lie type, including the linear, orthogonal, and symplectic families and their ...
Chloe Ching-Yun Hsu, C. Umans
semanticscholar   +1 more source

Picky elements, subnormalisers, and character correspondences

Forum of Mathematics, Sigma
We gather evidence on a new local-global conjecture of Moretó and Rizo on values of irreducible characters of finite groups. For this we study subnormalisers and picky elements in finite groups of Lie type and determine them in many cases, for unipotent ...
Gunter Malle
doaj   +1 more source

Type Synthesis of Lower Mobility Parallel Mechanisms: A Review

Chinese Journal of Mechanical Engineering, 2019
Type synthesis of mechanisms aims to systematically determine all possible structures for a specific mobility requirement. Numerous methods based on different theories were proposed for type synthesis of lower mobility parallel mechanisms in past decades.
Wei Ye, Qinchuan Li
doaj   +1 more source

Valued Graphs and the Representation Theory of Lie Algebras

Axioms, 2012
Quivers (directed graphs), species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra.
Joel Lemay
doaj   +1 more source

Natural Representations of Black Box Groups SL₂$\left(\mathbb{F}q\right)$

Axioms
In this paper, we make one step further in the recognition of black box groups of Lie type: given a black box group encrypting a special linear group of dimension 2 over a finite field of an unknown odd characteristic, we construct a black box field and ...
Alexandre Borovik, Şükrü Yalçınkaya
doaj   +1 more source