Classification of periodic transformations of an orientable surface of genus two

In this paper, we find all admissible topological conjugacy classes of periodic transformations of a two-dimensional surface of genus two. It is proved that there are exactly seventeen pairwise topologically non-conjugate orientation-preserving periodic pretzel transformations. The implementation of...

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Bibliographic Details
Main Authors: Baranov Denis A., Pochinka Olga V.
Format: Article
Language:English
Published: National Research Mordovia State University 2021-05-01
Series:Журнал Средневолжского математического общества
Subjects:
Online Access:http://journal.svmo.ru/en/archive/article?id=1720