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- W2693263453 abstract "We describe the finite group actions, up to equivalence, which can act on the orbifold $Sigma(2,2,2)$, and their quotient types. This is then used to consider actions on prism manifolds $M(b,d)$ which preserve a longitudinal fibering, but do not leave any Heegaard Klein bottle invariant. If $varphicolon Grightarrow text{Homeo} (M(b,d))$ is such an action, we show that $M(b,d) = M(b,2)$ and $M(b,2)/varphi$ fibers over a certain collection of 2-orbifolds with positive Euler characteristic which are covered by $Sigma(2,2,2)$. For the standard actions, we compute the fundamental group of $M(b,2)/varphi$ and indicate when it is a Seifert fibered manifold." @default.
- W2693263453 created "2017-06-30" @default.
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- W2693263453 date "2017-06-21" @default.
- W2693263453 modified "2023-09-25" @default.
- W2693263453 title "Finite actions on the Klein four-orbifold and prism manifolds" @default.
- W2693263453 doi "https://doi.org/10.14712/1213-7243.2015.193" @default.
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