Results 31 to 40 of about 199,468 (335)

General Helices of AW(k)-Type in the Lie Group

Journal of Applied Mathematics, 2012
We study curves of AW(k)-type in the Lie group G with a bi-invariant metric. Also, we characterize general helices in terms of AW(k)-type curve in the Lie group G.
Dae Won Yoon
doaj   +1 more source

On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group

Известия Иркутского государственного университета: Серия "Математика", 2017
The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
doaj   +1 more source

On the Diameter of a Cayley Graph of a Simple Group of Lie Type Based on a Conjugacy Class

Journal of Combinatorial Theory, 1998
Let G be a finite simple group, and let C be a non-identity conjugacy class of G. Write X(G, C ) for the undirected Cayley graph of G based on the generating set C _ C; thus the vertices of X(G, C ) are the elements of G, and two vertices x, y are joined
R. Lawther, M. Liebeck
semanticscholar   +1 more source

Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions

Journal of Applied Mathematics, 2012
The aim of this work is to perform a complete Lie symmetry classification of a generalized Lane-Emden type system in two dimensions which models many physical phenomena in biological and physical sciences.
Motlatsi Molati, Chaudry Masood Khalique
doaj   +1 more source

Disconnected 0-form and 2-group symmetries

Journal of High Energy Physics, 2023
Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by
Lakshya Bhardwaj, Dewi S. W. Gould
doaj   +1 more source

The canonical compactification of a finite group of Lie type

, 1993
Let G be a finite group of Lie type. We construct a finite monoid M having G as the group of units. M has properties analogous to the canonical compactification of a reductive group.
M. S. Putcha, L. Renner
semanticscholar   +1 more source

Flag-Transitive Non-Symmetric 2-Designs with (r, λ)=1 and Exceptional Groups of Lie Type

Electronic Journal of Combinatorics, 2020
This paper  determines all  pairs $(\mathcal{D},G)$ where $\mathcal{D}$ is a non-symmetric 2-$(v,k,\lambda)$ design   with $(r,\lambda)=1$ and  $G$ is  the  almost simple flag-transitive automorphism group of $\mathcal{D}$ with  an exceptional  socle of ...
Yongli Zhang, Shenglin Zhou
semanticscholar   +1 more source

Almost cyclic elements in cross-characteristic representations of finite groups of Lie type [PDF]

Journal of group theroy, 2018
This paper is a significant contribution to a general programme aimed to classify all projective irreducible representations of finite simple groups over an algebraically closed field, in which the image of at least one element is represented by an ...
L. Di Martino, M. Pellegrini, A. Zalesski   +2 more
semanticscholar   +1 more source

An improved diameter bound for finite simple groups of Lie type [PDF]

Bulletin of the London Mathematical Society, 2018
For a finite group G , let diam (G) denote the maximum diameter of a connected Cayley graph of G . A well‐known conjecture of Babai states that diam (G) is bounded by (log2|G|)O(1) in case G is a non‐abelian finite simple group.
Z. Halasi, Attila Mar'oti, L. Pyber, Youming Qiao   +3 more
semanticscholar   +1 more source

Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]

Opuscula Mathematica
We construct the Lie algebra of extended symmetry group for the Monge-Ampere type Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. This algebra includes novel generators that are unobtainable within the framework of the classical Lie approach and ...
Patryk Sitko, Ivan Tsyfra
doaj   +1 more source