119899, Moscow, Vorobyevy gory
M.V.Lomonosov Moscow State University
Brailov Y. A.
Algebraic Aspects of Classification of Singularities in Hamiltonian Systems
1999, vol. 4, no. 3, pp. 30-34
Bifurcations in the multidimensional integrable Hamiltonian systems are presented as a semidirect product of the simplest. We analyze action of finite groups on the two-dimensional components of this representation. Algebraic classification and calculation of the topological genus are suggested for the regular class of these singularities.