General primitivity in the mapping class group

P Kapari, K Rajeevsarathy - arXiv preprint arXiv:2109.07937, 2021 - arxiv.org
For $ g\geq 2$, let $\mathrm {Mod}(S_g) $ be the mapping class group of the closed
orientable surface $ S_g $ of genus $ g $. In this paper, we obtain necessary and sufficient …

On certain irreducible finite group actions on surfaces

N Takahashi, H Nozawa - arXiv preprint arXiv:2108.06930, 2021 - arxiv.org
We give a classification up to conjugacy for irreducible periodic diffeomorphisms of a surface
$\Sigma_ {g} $ which commute with involutions $\iota $ such that $\Sigma …