Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/5238
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dc.contributor.authorDhanwani, Neeraj K.-
dc.date.accessioned2023-08-29T09:59:34Z-
dc.date.available2023-08-29T09:59:34Z-
dc.date.issued2022-
dc.identifier.citationNew York Journal of Mathematics, 28(1), 617-649en_US
dc.identifier.urihttps://nyjm.albany.edu/j/2022/28-25v.pdf-
dc.identifier.urihttp://hdl.handle.net/123456789/5238-
dc.descriptionOnly IISER Mohali authors are available in the record.en_US
dc.description.abstractLet Mod(Sg) be the mapping class group of the closed orientable surface Sg of genus g ≥ 2. In this paper, we derive necessary and sufficient conditions under which two torsion elements in Mod(Sg) will have conjugates that generate a non-abelian finite split metacyclic subgroup of Mod(Sg). As applications of the main result, we give a complete characterization of the finite dihedral and the generalized quaternionic subgroups of Mod(Sg) up to a certain equivalence that we will call weak conjugacy. Furthermore, we show that any finite-order mapping class whose corresponding orbifold is a sphere has a conjugate that lifts under certain finite-sheeted regular cyclic covers of Sg. Moreover, for g ≥ 5, we show the existence of an infinite dihedral subgroup of Mod(Sg) that is generated by an involution and a root of a bounding pair map of degree 3. Finally, we provide a complete classification of the weak conjugacy classes of the non-abelian finite split metacyclic subgroups of Mod(S3) and Mod(S5). We also describe nontrivial geometric realizations of some of these actions.en_US
dc.language.isoen_USen_US
dc.publisherElectronic Journals Projecten_US
dc.subjectSplit metacyclic actionsen_US
dc.subjectOrientable surfaceen_US
dc.titleSplit metacyclic actions on surfacesen_US
dc.typeArticleen_US
Appears in Collections:Research Articles

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