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The orientation preserving topological symmetry group of a graph embedded in the 3-sphere is the subgroup of the automorphism group of the graph consisting of those automorphisms which can be induc...
We prove that for every closed, connected, orientable, irreducible 3-manifold, there exists an alternating group An which is not the topological symmetry group of any graph embedded in the manifold. ...
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...
We introduce and study natural two-parameter families of quan-tum groups motivated on one hand by the liberations of classical orthogonal groups and on the other by quantum isometry groups of the dual...
2006Vol.46No.6pp.1005-1010DOI: Non-Lie Symmetry Groups of (2+1)-Dimensional Nonlinear Systems MA Hong-Cai1 and LOU Sen-Yue2,3 1 Department of Mathematics, Donghua Univer...
2005Vol.43No.6pp.1047-1052DOI: Generating Lie Point Symmetry Groups of (2+1)-Dimensional Broer-Kaup Equation via a Simple Direct Method MA Hong-Cai Department of Physics...
2004Vol.41No.2pp.231-234DOI: Conditional Symmetry Groups of Nonlinear Diffusion Equations with x-Dependent Convection and Absorption QU Chang-Zheng and ZHANG Shun-Li Dep...

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