Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/5238
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Dhanwani, Neeraj K. | - |
dc.date.accessioned | 2023-08-29T09:59:34Z | - |
dc.date.available | 2023-08-29T09:59:34Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | New York Journal of Mathematics, 28(1), 617-649 | en_US |
dc.identifier.uri | https://nyjm.albany.edu/j/2022/28-25v.pdf | - |
dc.identifier.uri | http://hdl.handle.net/123456789/5238 | - |
dc.description | Only IISER Mohali authors are available in the record. | en_US |
dc.description.abstract | Let 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.iso | en_US | en_US |
dc.publisher | Electronic Journals Project | en_US |
dc.subject | Split metacyclic actions | en_US |
dc.subject | Orientable surface | en_US |
dc.title | Split metacyclic actions on surfaces | en_US |
dc.type | Article | en_US |
Appears in Collections: | Research Articles |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Need To Add…Full Text_PDF. | 15.36 kB | Unknown | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.