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Symmetry Groups and Exact Solutions of a (3+1)-dimensional Nonlinear Evolution Equation and Maccari’s System
symmetry group (3+1)-dimensional nonlin ear evolution equation Maccari’s system
2012/9/25
Based on the generalized symmetry group method and symbolic computation, both the Lie point groups and the non-Lie symmetry groups of a (3+1)-dimensional nonlinear evolution equation as well as the Ma...
Operator algebra quantum groups of universal gauge groups
Operator algebra quantum groups universal gauge groups
2010/11/11
In this paper, we quantize universal gauge groups such as SU(\infty), in the sigma-C*-algebra setting. More precisely, we propose a concise definition of sigma-C*-quantum groups and explain the conce...
Low-dimensional homology groups of mapping class groups: a survey
Low-dimensional homology groups mapping class
2010/3/1
In this survey paper, we give a complete list of known results on the first and the second homology groups of surface mapping class groups. Some known results on higher (co) homology are also mentione...
We propose a uniform approach for recognizing all black box groups of Lie type which is based on the analysis of the structure of the centralizers of involutions. Our approach can be viewed as a compu...
On Groups with the Weak Wide Commensurable Property
Weak Wide Commensurable Property locally finite locally graded
2010/2/26
An infinite group with the weak wide commensurable property is shown to be abelian, provided that it is locally finite or locally graded or non-perfect or linear. We also investigate the properties of...
We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.
Splitting of Sharply 2-Transitive Groups of Characteristic 3
Sharply 2-transitive groups Permutation groups
2010/2/26
We give a group theoretic proof of the splitting of sharply 2-transitive groups of characteristic 3.
KO-groups of Bounded Flag Manifolds
Bounded flag manifolds Sq2-homology KO-theory toric variety stably complex structure
2010/3/1
We exhibit an appropriate suspension of bounded flag manifolds as a wedge sum of Thom complexes of associated complex line bundles. We use the existence of such a splitting to assist our computation o...
Conjugacy Structure Type and Degree Structure Type in Finite p-groups
breadth conjugacy structure type degree structure type
2010/3/1
Let G be a finite p-group, and denote by k(G) number of conjugacy classes in G. The aim of this paper is to introduce the conjugacy structure type and degree structure type for p-groups, and determine...
We extend a result of to Esnault-Levine-Viehweg concerning the Chow groups of hypersurfaces in projective space to those in weighted projective spaces.
Induced Cat1-groups
Pullback Crossed module Cat1-group induced crossed modules induced cat1-groups Peiffer commutators cocomplete GAP
2010/3/1
In this paper we define the pullback cat1-group and show that this Pullback has a right adjoint which is the induced cat1-group. Later we show that this right adjoint is a pushout of category of cat1-...
In this paper we give efficient presentations for A4\times Dn, where n is odd number, or n is even number and (n,3)=1. We also give efficient presentations for A5\times Dn where n is an even or odd nu...
In this paper we describe a share package XMOD of functions for computing with finite, permutation crossed modules, their morphisms and derivations; cat1-groups, their morphisms and their sections, wr...
In this paper, wer define the pullback cat1-groups and we showed that the category of bullback cat1-group is equivalent to the category of pullback crossed modules. 1991 A. M. S. C.: 13D99, 16A99, 17B...
In this paper, we will give a short proof of the construction of the crossed complex of groups by using the higher order Peiffer elements.