<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we consider the finite groups that act fiber- and orientation-preservingly on closed, compact, and orientable Seifert manifolds that fiber over an orientable base space. We establish a method of constructing such group actions and then show that if an action satisfies a condition on the obstruction class of the Seifert manifold, it can be derived from the given construction. The obstruction condition is refined and the general structure of the finite groups that act via the construction is provided.</p></abstract>

In this paper we consider the finite groups that act fiber- and orientation-preservingly on closed, compact, and orientable Seifert manifolds that fiber over an orientable base space. We establish a method of constructing such group actions and then show that if an action satisfies a condition on the obstruction class of the Seifert manifold, it can be derived from the given construction. The obstruction condition is refined and the general structure of the finite groups that act via the construction is provided.

Finite, Fiber- and Orientation-Preserving Group Actions on Totally Orientable Seifert Manifolds

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper we consider the finite groups that act fiber- and orientation-preservingly on closed, compact, and orientable Seifert manifolds that fiber over...

Finite, Fiber- and Orientation-Preserving Group Actions on Totally Orientable Seifert Manifolds

Published Online: Jul 18, 2019

Page range: 235 - 265

Received: Mar 07, 2019

Accepted: May 14, 2019

DOI: https://doi.org/10.2478/amsil-2019-0007

Keywords
geometry, topology, 3-manifolds, finite group actions, Seifert fibrations

© 2019 Benjamin Peet, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Finite, Fiber- and Orientation-Preserving Group Actions on Totally Orientable Seifert Manifolds

Published Online: Jul 18, 2019

Page range: 235 - 265

Received: Mar 07, 2019

Accepted: May 14, 2019

DOI: https://doi.org/10.2478/amsil-2019-0007

Keywordsgeometry, topology, 3-manifolds, finite group actions, Seifert fibrations

© 2019 Benjamin Peet, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
geometry, topology, 3-manifolds, finite group actions, Seifert fibrations