论文标题

关于小属表面上的大边界和非界限有限群体运动的注释

A note on large bounding and non-bounding finite group-actions on surfaces of small genus

论文作者

Zimmermann, Bruno P.

论文摘要

众所周知,在小属的封闭表面上有限群体作用的分类。在本文中,我们对这些群体行为中的哪一个有界限感兴趣(以其独特的边界成分(例如,到手柄机构)或几何界限(扩展到一个典型的三个manifold,扩展到典型的典型案例,延伸到一个典型的compoins of Genus oon Genus 3。

The classification of finite group-actions on closed surfaces of small genus is well-known. In the present paper we are interested in the question of which of these group-actions are bounding (extend to a compact 3-manifold with the surface as its unique boundary component, e.g. to a handlebody) or geometrically bounding (extend to a hyperbolic 3-manifold with totally geodesic boundary), concentrating, as a typical case, on large group-actions on surfaces of genus 3.

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