Enumerating quasiplatonic cyclic group actions
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Publication:380192
DOI10.1216/RMJ-2013-43-5-1459zbMath1297.57043WikidataQ57428705 ScholiaQ57428705MaRDI QIDQ380192
Publication date: 13 November 2013
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1382705662
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Group actions on manifolds and cell complexes in low dimensions (57M60) Automorphisms of curves (14H37)
Related Items (3)
On periodic self-homeomorphisms of closed orientable surfaces determined by their orders ⋮ Geometric realizations of cyclic actions on surfaces. II ⋮ Counting the number of quasiplatonic topological actions of the cyclic group on surfaces
Cites Work
- Classifying finite group actions on surfaces of low genus
- The automorphism group of the free group with two generators
- Topological classification of \(\mathbb{Z}_ p^ m\) actions on surfaces.
- Finite abelian subgroups of the mapping class group
- Topological classification of conformal actions on elliptic-hyperelliptic Riemann surfaces
- On extendability of group actions on compact Riemann surfaces
- ENUMERATION OF HOMOMORPHISMS AND SURFACE-COVERINGS
- CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
- A Bound for the Number of Automorphisms of a Compact Riemann Surface
- On the Number of Automorphisms of a Closed Riemann Surface
- Finitely Maximal Fuchsian Groups
- The Nielsen realization problem
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