Each finite group is the symmetry group of some map (an ``atom-bifurcation)

DOI10.3103/S0027132213030030zbMath1298.37040OpenAlexW2004440194MaRDI QIDQ469081

A. T. Fomenko, E. A. Kudryavtseva

Publication date: 10 November 2014

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132213030030

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items (6)

Automorphisms of Kronrod-Reeb graphs of Morse functions on compact surfaces ⋮ Algorithmic construction of two-dimensional singular fibers of atoms of billiards in non-convex domains ⋮ Topology of Liouville foliations for integrable billiards in non-convex domains ⋮ The geodesic flow on a two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions ⋮ Partially symmetric height atoms ⋮ Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of maps with prescribed automorphism group
• A note on finite groups which act freely on closed surfaces. II
• Stable topological non-conjugacy of Hamiltonian systems on two-dimensional surfaces
• Decomposition of nondegenerate singularities of integrable Hamiltonian systems
• Maximally symmetric cell decompositions of surfaces and their coverings

This page was built for publication: Each finite group is the symmetry group of some map (an ``atom-bifurcation)