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- W978840794 abstract "Let $$S_g$$ denote a closed non-orientable surface of genus $$gge 3$$ . At the beginning of 1980s E. Bujalance showed that the maximum order of a periodic self-homeomorphism of $$S_g$$ is equal to 2g or $$2(g-1)$$ for g odd or even respectively, and this upper bound is attained for all $$gge 3$$ . In this paper we enumerate, up to topological conjugation, actions on $$S_g$$ of a cyclic group $$mathbb {Z}_N$$ of order $$N>g-2$$ with prescribed type of the quotient orbifold $$S_g/ {mathbb {Z}_N}$$ . We also compute, for a fixed g and N ranging between $$max {g,{3(g-2)}/{2}}$$ and 2g, the total numbers of different topological types of action of $$mathbb {Z}_N$$ on $$S_g$$ ." @default.
- W978840794 created "2016-06-24" @default.
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- W978840794 date "2015-07-14" @default.
- W978840794 modified "2023-09-27" @default.
- W978840794 title "On topological type of periodic self-homeomorphisms of closed non-orientable surfaces" @default.
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- W978840794 doi "https://doi.org/10.1007/s13398-015-0234-6" @default.
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